Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bo |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-110268022496488560 = -1 · 24 · 323 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77400,13684383] |
[a1,a2,a3,a4,a6] |
j |
218902267299584/470715894135 |
j-invariant |
L |
5.3225048895808 |
L(r)(E,1)/r! |
Ω |
0.23141325606872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bi1 116160fw1 87120bh1 29040bq1 |
Quadratic twists by: -4 8 -3 -11 |