Atkin-Lehner |
2+ 3+ 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590b |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
1340018640000000 = 210 · 39 · 57 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34170,-1667404] |
[a1,a2,a3,a4,a6] |
j |
224168458452723/68080000000 |
j-invariant |
L |
1.4377039466078 |
L(r)(E,1)/r! |
Ω |
0.3594259886459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590bn1 |
Quadratic twists by: -3 |