Atkin-Lehner |
2- 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880l |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-271900720 = -1 · 24 · 5 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,142,453] |
[a1,a2,a3,a4,a6] |
Generators |
[6:39:1] |
Generators of the group modulo torsion |
j |
19791046656/16993795 |
j-invariant |
L |
5.6041496726561 |
L(r)(E,1)/r! |
Ω |
1.13019238017 |
Real period |
R |
2.4792901503411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760b1 |
Quadratic twists by: -4 |