Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cb |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
117103792366080000 = 212 · 36 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352200,78748400] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2180:1] |
Generators of the group modulo torsion |
j |
2588953638400/62748517 |
j-invariant |
L |
7.3300621577538 |
L(r)(E,1)/r! |
Ω |
0.3313988964633 |
Real period |
R |
3.6864245377015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600ew1 10400ba1 93600eh1 |
Quadratic twists by: -4 -3 5 |