Atkin-Lehner |
3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627o |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5927040 |
Modular degree for the optimal curve |
Δ |
7.2493293958884E+19 |
Discriminant |
Eigenvalues |
2 3- -1 7+ -2 7 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1250006,348220247] |
[a1,a2,a3,a4,a6] |
j |
62992384/21141 |
j-invariant |
L |
6.4427155667713 |
L(r)(E,1)/r! |
Ω |
0.17896438437081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627k1 4263a1 |
Quadratic twists by: -7 29 |