Atkin-Lehner |
2+ 3+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26598a |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-705464897499648 = -1 · 29 · 35 · 114 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -4 3 11- 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-186732,31006800] |
[a1,a2,a3,a4,a6] |
Generators |
[251:45:1] |
Generators of the group modulo torsion |
j |
-720084715027220942281/705464897499648 |
j-invariant |
L |
2.8268755718228 |
L(r)(E,1)/r! |
Ω |
0.50573534217148 |
Real period |
R |
0.46580285116537 |
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 |
79794u1 |
Quadratic twists by: -3 |