Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200i |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
186995916800 = 214 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5013,133363] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:467:1] |
Generators of the group modulo torsion |
j |
34020720640/456533 |
j-invariant |
L |
4.4222892921124 |
L(r)(E,1)/r! |
Ω |
1.0129729976618 |
Real period |
R |
4.3656536644059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gj1 7700e1 123200de1 |
Quadratic twists by: -4 8 5 |