Atkin-Lehner |
2- 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640cc |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2407680 |
Modular degree for the optimal curve |
Δ |
-2.65012776E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,618064,-162174636] |
[a1,a2,a3,a4,a6] |
j |
6374753648982289871/6470038476562500 |
j-invariant |
L |
0.68896987314363 |
L(r)(E,1)/r! |
Ω |
0.11482828791104 |
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 |
15330s1 |
Quadratic twists by: -4 |