Atkin-Lehner |
2- 3+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21714i |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
15130080 |
Modular degree for the optimal curve |
Δ |
-8.259243805186E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-783609547,8555163378809] |
[a1,a2,a3,a4,a6] |
j |
-53213627810719029578255093900593/825924380518597830702769152 |
j-invariant |
L |
4.5265041130684 |
L(r)(E,1)/r! |
Ω |
0.050294490145205 |
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 |
65142j1 |
Quadratic twists by: -3 |