Atkin-Lehner |
2- 5+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121900f |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
94922067200 = 28 · 52 · 234 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -3 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2293,38823] |
[a1,a2,a3,a4,a6] |
Generators |
[74:529:1] |
Generators of the group modulo torsion |
j |
208422830080/14831573 |
j-invariant |
L |
5.0890829030358 |
L(r)(E,1)/r! |
Ω |
1.0472345333721 |
Real period |
R |
1.2148861441094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121900i1 |
Quadratic twists by: 5 |