Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62900c |
Isogeny class |
Conductor |
62900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
42772000000 = 28 · 56 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -1 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3933,95737] |
[a1,a2,a3,a4,a6] |
Generators |
[72:425:1] |
Generators of the group modulo torsion |
j |
1682464768/10693 |
j-invariant |
L |
5.1897329871221 |
L(r)(E,1)/r! |
Ω |
1.1480981104642 |
Real period |
R |
1.1300717551846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2516a1 |
Quadratic twists by: 5 |