Atkin-Lehner |
5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9275c |
Isogeny class |
Conductor |
9275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1988328125 = -1 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 0 -1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888,-10483] |
[a1,a2,a3,a4,a6] |
Generators |
[37:69:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
3.2378321156455 |
L(r)(E,1)/r! |
Ω |
0.4366217621203 |
Real period |
R |
0.9269556617844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475z1 371a1 64925j1 |
Quadratic twists by: -3 5 -7 |