Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600ce |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-2692685004800000000 = -1 · 221 · 58 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20792,-78934412] |
[a1,a2,a3,a4,a6] |
Generators |
[414:896:1] |
Generators of the group modulo torsion |
j |
621257495/1682928128 |
j-invariant |
L |
8.3082700071867 |
L(r)(E,1)/r! |
Ω |
0.11861549671052 |
Real period |
R |
2.1888660802014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950h1 103600bc1 |
Quadratic twists by: -4 5 |