Atkin-Lehner |
2- 3+ 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978l |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
238 |
Product of Tamagawa factors cp |
deg |
1942080 |
Modular degree for the optimal curve |
Δ |
-2.5784145271727E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 1 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1276667,-2378603125] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:12924:1] |
Generators of the group modulo torsion |
j |
230121178137769364003375/2578414527172744445952 |
j-invariant |
L |
6.9341316307042 |
L(r)(E,1)/r! |
Ω |
0.071020664754224 |
Real period |
R |
0.41023280973918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934s1 |
Quadratic twists by: -3 |