Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930i |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6.4156782206927E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2995650,-2337570284] |
[a1,a2,a3,a4,a6] |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
0.90757889655513 |
L(r)(E,1)/r! |
Ω |
0.056723681034696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cs1 2310o1 34650cv1 48510bs1 |
Quadratic twists by: -4 -3 5 -7 |