Atkin-Lehner |
5+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110495b |
Isogeny class |
Conductor |
110495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1603584 |
Modular degree for the optimal curve |
Δ |
-117763263254136115 = -1 · 5 · 715 · 112 · 41 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 11- -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,49147,-15969137] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:15297:8] |
Generators of the group modulo torsion |
j |
111590316969984/1000971221635 |
j-invariant |
L |
9.7364490167617 |
L(r)(E,1)/r! |
Ω |
0.16422824235489 |
Real period |
R |
7.4107602039462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785c1 |
Quadratic twists by: -7 |