Atkin-Lehner |
2- 3- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
70452j |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
165600 |
Modular degree for the optimal curve |
Δ |
2974765529808 = 24 · 36 · 195 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32160,-2218291] |
[a1,a2,a3,a4,a6] |
Generators |
[1954:16967:8] |
Generators of the group modulo torsion |
j |
315372863488000/255038197 |
j-invariant |
L |
6.6037842757215 |
L(r)(E,1)/r! |
Ω |
0.35652634585069 |
Real period |
R |
3.7045140435783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7828c1 |
Quadratic twists by: -3 |