Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380bm |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-769605300000000 = -1 · 28 · 39 · 58 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11553,1246214] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6750:1] |
Generators of the group modulo torsion |
j |
913777664816/4123828125 |
j-invariant |
L |
6.8851597840904 |
L(r)(E,1)/r! |
Ω |
0.36159822522445 |
Real period |
R |
0.19834282751581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460a1 |
Quadratic twists by: -3 |