Atkin-Lehner |
5- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92365q |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
191232 |
Modular degree for the optimal curve |
Δ |
-1552378555 = -1 · 5 · 77 · 13 · 29 |
Discriminant |
Eigenvalues |
-2 0 5- 7- 3 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27587,1763620] |
[a1,a2,a3,a4,a6] |
Generators |
[770:45:8] |
Generators of the group modulo torsion |
j |
-19735534669824/13195 |
j-invariant |
L |
3.7384387255717 |
L(r)(E,1)/r! |
Ω |
1.2455401307314 |
Real period |
R |
1.5007299331131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195f1 |
Quadratic twists by: -7 |