Atkin-Lehner |
2+ 3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818w |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-33954382224 = -1 · 24 · 38 · 73 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378,-9212] |
[a1,a2,a3,a4,a6] |
Generators |
[56:350:1] |
Generators of the group modulo torsion |
j |
-8205738913/46576656 |
j-invariant |
L |
6.8217828836478 |
L(r)(E,1)/r! |
Ω |
0.48559873641457 |
Real period |
R |
1.1706824233058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39606l1 |
Quadratic twists by: -3 |