Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446x |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6800640 |
Modular degree for the optimal curve |
Δ |
-2.0378176850759E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,766824,21717574246] |
[a1,a2,a3,a4,a6] |
Generators |
[14151598318:1291851379526:1771561] |
Generators of the group modulo torsion |
j |
423860920528484375/1732116452393091072 |
j-invariant |
L |
5.1612638400254 |
L(r)(E,1)/r! |
Ω |
0.078833704780045 |
Real period |
R |
16.367567192313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778d1 |
Quadratic twists by: -7 |