Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072x |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-4283798063579136 = -1 · 215 · 37 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220065,39933153] |
[a1,a2,a3,a4,a6] |
Generators |
[323:1564:1] |
Generators of the group modulo torsion |
j |
-35969026108901192/130731142077 |
j-invariant |
L |
5.278955025103 |
L(r)(E,1)/r! |
Ω |
0.43939939548599 |
Real period |
R |
0.66744579568527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bn1 37536l1 |
Quadratic twists by: -4 8 |