Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380bi |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
2998963898015212800 = 28 · 315 · 52 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2298072,1338300164] |
[a1,a2,a3,a4,a6] |
j |
7191957500090589184/16069551065325 |
j-invariant |
L |
3.0471351754287 |
L(r)(E,1)/r! |
Ω |
0.25392793045276 |
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 |
23460c1 |
Quadratic twists by: -3 |