Atkin-Lehner |
3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
26937b |
Isogeny class |
Conductor |
26937 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
109625943366873 = 312 · 414 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15021,-494600] |
[a1,a2,a3,a4,a6] |
Generators |
[245288:121359860:1] |
Generators of the group modulo torsion |
j |
514172666002897/150378523137 |
j-invariant |
L |
8.521952860032 |
L(r)(E,1)/r! |
Ω |
0.44091549277039 |
Real period |
R |
9.6639299364218 |
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 |
8979b1 |
Quadratic twists by: -3 |