Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072bt |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-2312440456937472 = -1 · 232 · 34 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15713,2429439] |
[a1,a2,a3,a4,a6] |
j |
-1636774161625/8821260288 |
j-invariant |
L |
3.1888432467659 |
L(r)(E,1)/r! |
Ω |
0.39860540522837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072cg1 2346d1 |
Quadratic twists by: -4 8 |