Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400v |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
12 |
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 |
[734:15774:1] |
Generators of the group modulo torsion |
j |
-99735451400/11979 |
j-invariant |
L |
5.7333321627777 |
L(r)(E,1)/r! |
Ω |
0.11840183741911 |
Real period |
R |
4.035221839846 |
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 |
26400d1 52800el1 79200dn1 26400bp1 |
Quadratic twists by: -4 8 -3 5 |