Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072y |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-19218432 = -1 · 214 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 3 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
-35152/1173 |
j-invariant |
L |
5.437848595213 |
L(r)(E,1)/r! |
Ω |
0.94545269965478 |
Real period |
R |
1.4378954645831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072da1 4692e1 |
Quadratic twists by: -4 8 |