Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072bw |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11477082432 = -1 · 26 · 3 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 1 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,-5118] |
[a1,a2,a3,a4,a6] |
j |
1012048064/179329413 |
j-invariant |
L |
5.4105033215969 |
L(r)(E,1)/r! |
Ω |
0.60116703812506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072v1 37536u1 |
Quadratic twists by: -4 8 |