Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850l |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
649250000 = 24 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3000,62000] |
[a1,a2,a3,a4,a6] |
Generators |
[35:20:1] |
Generators of the group modulo torsion |
j |
3902092369/848 |
j-invariant |
L |
7.0391146194042 |
L(r)(E,1)/r! |
Ω |
1.5750730657253 |
Real period |
R |
1.1172679267128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000206202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194p1 129850d1 |
Quadratic twists by: 5 -7 |