Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120f |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
36447667200 = 210 · 38 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16203,-793802] |
[a1,a2,a3,a4,a6] |
j |
630205984804/48825 |
j-invariant |
L |
1.6926326214575 |
L(r)(E,1)/r! |
Ω |
0.42315815566063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040t1 |
Quadratic twists by: -3 |