Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cb |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
114738866458951680 = 215 · 33 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239136,42036480] |
[a1,a2,a3,a4,a6] |
Generators |
[-454:7538:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
3.8807295633567 |
L(r)(E,1)/r! |
Ω |
0.3254752559357 |
Real period |
R |
5.9616353203258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630u1 116160iy1 87120fs1 29040by1 |
Quadratic twists by: -4 8 -3 -11 |