Atkin-Lehner |
5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78155c |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-7732875237395 = -1 · 5 · 78 · 11 · 293 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 11+ -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4884,23757] |
[a1,a2,a3,a4,a6] |
Generators |
[810:9943:8] |
Generators of the group modulo torsion |
j |
109489762304/65728355 |
j-invariant |
L |
6.5586688390356 |
L(r)(E,1)/r! |
Ω |
0.45360989572767 |
Real period |
R |
1.2049025855253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165e1 |
Quadratic twists by: -7 |