Atkin-Lehner |
2- 3+ 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118i |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-430043129208 = -1 · 23 · 33 · 75 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4400,-118519] |
[a1,a2,a3,a4,a6] |
Generators |
[83:269:1] |
Generators of the group modulo torsion |
j |
-9420802744953601/430043129208 |
j-invariant |
L |
3.807874104479 |
L(r)(E,1)/r! |
Ω |
0.29231381396967 |
Real period |
R |
4.3422216381766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354n1 |
Quadratic twists by: -3 |