Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
740c |
Isogeny class |
Conductor |
740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
5920000 = 28 · 54 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -3 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
2.0073801536813 |
L(r)(E,1)/r! |
Ω |
2.0445936737469 |
Real period |
R |
0.081816588607007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2960k1 11840f1 6660a1 3700d1 |
Quadratic twists by: -4 8 -3 5 |