Atkin-Lehner |
2- 3- 7+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038z |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-262073761872238008 = -1 · 23 · 310 · 73 · 117 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269330,-59101815] |
[a1,a2,a3,a4,a6] |
Generators |
[23158:1212489:8] |
Generators of the group modulo torsion |
j |
-2963799806609265625/359497615736952 |
j-invariant |
L |
9.0669813070859 |
L(r)(E,1)/r! |
Ω |
0.1040772512224 |
Real period |
R |
7.2598168041091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346b1 |
Quadratic twists by: -3 |