Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7104u |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2095054848 = -1 · 221 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,2175] |
[a1,a2,a3,a4,a6] |
Generators |
[31:192:1] |
Generators of the group modulo torsion |
j |
857375/7992 |
j-invariant |
L |
5.2040926736336 |
L(r)(E,1)/r! |
Ω |
1.0767982642577 |
Real period |
R |
0.40274432441478 |
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 |
7104a1 1776g1 21312bp1 |
Quadratic twists by: -4 8 -3 |