Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-462997474508800 = -1 · 235 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11860,908080] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:413:1] |
Generators of the group modulo torsion |
j |
28151260695/70647808 |
j-invariant |
L |
5.9431049827708 |
L(r)(E,1)/r! |
Ω |
0.36798423806115 |
Real period |
R |
4.0376083625994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dw1 3850q1 123200cu1 |
Quadratic twists by: -4 8 5 |