Atkin-Lehner |
2+ 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bj |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
4656960 |
Modular degree for the optimal curve |
Δ |
-2.1886256157893E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28842293,-59664987142] |
[a1,a2,a3,a4,a6] |
j |
-2653463045771824244380558921/2188625615789317031250 |
j-invariant |
L |
2.2800200866523 |
L(r)(E,1)/r! |
Ω |
0.032571715524059 |
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 |
117810df1 |
Quadratic twists by: -3 |