Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380d |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
472685029920000 = 28 · 33 · 54 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19968,-292108] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:825:1] |
Generators of the group modulo torsion |
j |
127386582515712/68386144375 |
j-invariant |
L |
4.9421440666715 |
L(r)(E,1)/r! |
Ω |
0.42738092108531 |
Real period |
R |
2.8909479940443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380l1 |
Quadratic twists by: -3 |