Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314g |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12718080 |
Modular degree for the optimal curve |
Δ |
-3.9800835140586E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1020418251,-12546075035323] |
[a1,a2,a3,a4,a6] |
Generators |
[2697923033155426231202027898222471702385103056614792418887460727:-455587798887017641698175780877213946012280875632371200829189349066:51492937307685119732142882511094736699973964764460337696481] |
Generators of the group modulo torsion |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
5.0271976442313 |
L(r)(E,1)/r! |
Ω |
0.013355954052235 |
Real period |
R |
94.100309580468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314bj1 2574q1 |
Quadratic twists by: -3 -11 |