Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975i |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1485467294732421875 = -1 · 59 · 77 · 314 |
Discriminant |
Eigenvalues |
0 3 5+ 7- 1 7 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1019200,400356031] |
[a1,a2,a3,a4,a6] |
Generators |
[17535:94924:27] |
Generators of the group modulo torsion |
j |
-63693291257856/808080875 |
j-invariant |
L |
9.0816211905229 |
L(r)(E,1)/r! |
Ω |
0.26965045471423 |
Real period |
R |
0.52623805605041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595d1 5425d1 |
Quadratic twists by: 5 -7 |