Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bs |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
2252362001887835712 = 26 · 36 · 76 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3618431,-2648601070] |
[a1,a2,a3,a4,a6] |
Generators |
[-8682:9539:8] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
5.7783865000131 |
L(r)(E,1)/r! |
Ω |
0.10946636580031 |
Real period |
R |
2.1994527913632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734b1 4998g1 |
Quadratic twists by: -7 17 |