Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094g |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
-36318414272200704 = -1 · 223 · 39 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 5 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88440,-13636288] |
[a1,a2,a3,a4,a6] |
j |
-79320474507267/37656461312 |
j-invariant |
L |
2.1655405362493 |
L(r)(E,1)/r! |
Ω |
0.1353462834513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bk1 59094b1 |
Quadratic twists by: -3 -7 |