Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
81183657738839040 = 210 · 36 · 5 · 711 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15094760,22567868868] |
[a1,a2,a3,a4,a6] |
j |
3157287870431675236/673876665 |
j-invariant |
L |
3.2573878225663 |
L(r)(E,1)/r! |
Ω |
0.27144900199088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bz1 18480e1 |
Quadratic twists by: -4 -7 |