Atkin-Lehner |
5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9025b |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
33171021564453125 = 59 · 198 |
Discriminant |
Eigenvalues |
0 2 5+ 4 3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-914533,336816593] |
[a1,a2,a3,a4,a6] |
Generators |
[10839:157924:27] |
Generators of the group modulo torsion |
j |
318767104/125 |
j-invariant |
L |
5.7065536614887 |
L(r)(E,1)/r! |
Ω |
0.36246180882229 |
Real period |
R |
2.6239792821348 |
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 |
81225q1 1805a1 9025d1 |
Quadratic twists by: -3 5 -19 |