Atkin-Lehner |
2- 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280w |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-32018981191680 = -1 · 232 · 3 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2976,280320] |
[a1,a2,a3,a4,a6] |
j |
-711882749089/7817134080 |
j-invariant |
L |
2.2397122048856 |
L(r)(E,1)/r! |
Ω |
0.55992842755505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bh1 |
Quadratic twists by: -4 |