Atkin-Lehner |
7- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
55517a |
Isogeny class |
Conductor |
55517 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-13729520651 = -1 · 76 · 11 · 1032 |
Discriminant |
Eigenvalues |
-2 -1 -3 7- 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8052,280860] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-52:1] [-646:5043:8] |
Generators of the group modulo torsion |
j |
-490795651072/116699 |
j-invariant |
L |
3.0653183452855 |
L(r)(E,1)/r! |
Ω |
1.2233851158183 |
Real period |
R |
0.6264009398276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1133a1 |
Quadratic twists by: -7 |