Atkin-Lehner |
3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75615f |
Isogeny class |
Conductor |
75615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-51160050890949375 = -1 · 32 · 54 · 717 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25100,-10763740] |
[a1,a2,a3,a4,a6] |
Generators |
[188:708:1] |
Generators of the group modulo torsion |
j |
13651919/399375 |
j-invariant |
L |
1.4180209178916 |
L(r)(E,1)/r! |
Ω |
0.17175008450528 |
Real period |
R |
4.1281520274497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912646 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1065b1 |
Quadratic twists by: -71 |