Atkin-Lehner |
2- 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380o |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
6455858868000000 = 28 · 33 · 56 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 0 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940632,351116644] |
[a1,a2,a3,a4,a6] |
j |
13316166915649855488/934007359375 |
j-invariant |
L |
4.8229507445557 |
L(r)(E,1)/r! |
Ω |
0.40191256318143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70380g2 |
Quadratic twists by: -3 |