Atkin-Lehner |
2- 3- 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742m |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2289263090688 = -1 · 210 · 32 · 73 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9013,336545] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-241:1] |
Generators of the group modulo torsion |
j |
-80971994494140625/2289263090688 |
j-invariant |
L |
10.125822163295 |
L(r)(E,1)/r! |
Ω |
0.8170177129989 |
Real period |
R |
0.6196819237938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226h1 |
Quadratic twists by: -3 |