Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550es |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
68768506406250000 = 24 · 38 · 510 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110255,6302247] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/6037290000 |
j-invariant |
L |
4.9677307644561 |
L(r)(E,1)/r! |
Ω |
0.31048321216886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38850i2 23310i2 |
Quadratic twists by: -3 5 |