Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380g |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
471315656349676800 = 28 · 33 · 52 · 179 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211848,17819428] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:6834:1] |
Generators of the group modulo torsion |
j |
152122371626115072/68188028985775 |
j-invariant |
L |
8.0016562663855 |
L(r)(E,1)/r! |
Ω |
0.2655260118649 |
Real period |
R |
2.5112593833445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000715 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70380o2 |
Quadratic twists by: -3 |