Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380q |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-25349771913750000 = -1 · 24 · 33 · 57 · 175 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -1 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29043,-7419619] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6375:1] [212:2875:1] |
Generators of the group modulo torsion |
j |
6271398385281792/58680027578125 |
j-invariant |
L |
9.5220645127392 |
L(r)(E,1)/r! |
Ω |
0.18645336898743 |
Real period |
R |
0.12159384567008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380c1 |
Quadratic twists by: -3 |