Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450co |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
1006416393750000 = 24 · 313 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70430,-7012803] |
[a1,a2,a3,a4,a6] |
Generators |
[419:5865:1] |
Generators of the group modulo torsion |
j |
135676125625/3534192 |
j-invariant |
L |
9.3107160542655 |
L(r)(E,1)/r! |
Ω |
0.29352889638802 |
Real period |
R |
0.66083187555818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150h1 45450x1 |
Quadratic twists by: -3 5 |