Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894r |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23654400 |
Modular degree for the optimal curve |
Δ |
3.5171877289334E+25 |
Discriminant |
Eigenvalues |
2- 0 3 7- -1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-530983291,-4700656734581] |
[a1,a2,a3,a4,a6] |
j |
140727196512386480536476273/298956024184936205024 |
j-invariant |
L |
5.0327430175259 |
L(r)(E,1)/r! |
Ω |
0.031454643809397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842m1 |
Quadratic twists by: -7 |