Atkin-Lehner |
2- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40300b |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
5072439092500000000 = 28 · 510 · 133 · 314 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-430000,-6087500] |
[a1,a2,a3,a4,a6] |
j |
3517135257600/2028975637 |
j-invariant |
L |
0.40663240029138 |
L(r)(E,1)/r! |
Ω |
0.20331620016864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40300n1 |
Quadratic twists by: 5 |