Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bp |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-3833280000 = -1 · 29 · 32 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 7 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6608,-204588] |
[a1,a2,a3,a4,a6] |
j |
-99735451400/11979 |
j-invariant |
L |
3.1770546855596 |
L(r)(E,1)/r! |
Ω |
0.26475455713 |
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 |
26400cd1 52800hn1 79200cb1 26400v1 |
Quadratic twists by: -4 8 -3 5 |