Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600ca |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-240418304000 = -1 · 212 · 53 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-640,-24400] |
[a1,a2,a3,a4,a6] |
j |
-56623104/469567 |
j-invariant |
L |
6.6772169537386 |
L(r)(E,1)/r! |
Ω |
0.41732607429124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6475g1 103600cc1 |
Quadratic twists by: -4 5 |