Atkin-Lehner |
2+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226a |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-274949782955153152 = -1 · 28 · 711 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175446,-37916056] |
[a1,a2,a3,a4,a6] |
j |
-5076475881639625/2337034594048 |
j-invariant |
L |
0.91285825644013 |
L(r)(E,1)/r! |
Ω |
0.11410728442079 |
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 |
10318a1 |
Quadratic twists by: -7 |