Atkin-Lehner |
2+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85910c |
Isogeny class |
Conductor |
85910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380800 |
Modular degree for the optimal curve |
Δ |
412158627020800 = 217 · 52 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50338,-4256908] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:371:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
3.0046852817366 |
L(r)(E,1)/r! |
Ω |
0.31930098697284 |
Real period |
R |
2.3525493242279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710b1 |
Quadratic twists by: -11 |