Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400d |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-59895000000000 = -1 · 29 · 32 · 510 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -7 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165208,25903912] |
[a1,a2,a3,a4,a6] |
Generators |
[241:168:1] |
Generators of the group modulo torsion |
j |
-99735451400/11979 |
j-invariant |
L |
4.3551982133905 |
L(r)(E,1)/r! |
Ω |
0.60056457356387 |
Real period |
R |
3.6259200135182 |
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 |
26400v1 52800gz1 79200ea1 26400cd1 |
Quadratic twists by: -4 8 -3 5 |