Atkin-Lehner |
7- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96089c |
Isogeny class |
Conductor |
96089 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
-1319013703 = -1 · 73 · 372 · 532 |
Discriminant |
Eigenvalues |
-1 -2 -2 7- 0 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,76,1735] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:23:1] [-3:40:1] |
Generators of the group modulo torsion |
j |
141420761/3845521 |
j-invariant |
L |
4.3621021762874 |
L(r)(E,1)/r! |
Ω |
1.1470923609944 |
Real period |
R |
1.9013735615032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96089b1 |
Quadratic twists by: -7 |