Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7104r |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-3436413714432 = -1 · 219 · 311 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 1 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1087,-88479] |
[a1,a2,a3,a4,a6] |
Generators |
[37:32:1] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
3.0945428447151 |
L(r)(E,1)/r! |
Ω |
0.38376902628665 |
Real period |
R |
2.0158888763496 |
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 |
7104k1 1776i1 21312cc1 |
Quadratic twists by: -4 8 -3 |