Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bf |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
-5861214157352730624 = -1 · 223 · 33 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-481508,-173391865] |
[a1,a2,a3,a4,a6] |
Generators |
[837:2653:1] [1017:19189:1] |
Generators of the group modulo torsion |
j |
-79320474507267/37656461312 |
j-invariant |
L |
13.437530914715 |
L(r)(E,1)/r! |
Ω |
0.088604941278073 |
Real period |
R |
0.54948071191534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094b1 59094bk1 |
Quadratic twists by: -3 -7 |