Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976cv |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
44174955968 = 26 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 0 2 4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32279,2232152] |
[a1,a2,a3,a4,a6] |
Generators |
[500284738850:13957582158429:614125000] |
Generators of the group modulo torsion |
j |
12040481088/143 |
j-invariant |
L |
9.0912946856318 |
L(r)(E,1)/r! |
Ω |
1.0344787991272 |
Real period |
R |
17.576570176875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118976bv1 59488n4 9152t1 |
Quadratic twists by: -4 8 13 |