Atkin-Lehner |
2- 3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34968g |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-582280771824 = -1 · 24 · 312 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 2 -2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1556,-43143] |
[a1,a2,a3,a4,a6] |
j |
-26056230479104/36392548239 |
j-invariant |
L |
2.8931148681329 |
L(r)(E,1)/r! |
Ω |
0.3616393585146 |
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 |
69936d1 104904g1 |
Quadratic twists by: -4 -3 |