Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bt |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
459403664532912 = 24 · 33 · 1110 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24707,-1075885] |
[a1,a2,a3,a4,a6] |
j |
2381643/656 |
j-invariant |
L |
3.1095675705075 |
L(r)(E,1)/r! |
Ω |
0.38869593162396 |
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 |
89298d1 89298e1 |
Quadratic twists by: -3 -11 |