Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650u |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
719696656250000 = 24 · 59 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98375,-11846875] |
[a1,a2,a3,a4,a6] |
Generators |
[632970:-17541035:729] |
Generators of the group modulo torsion |
j |
3803721481/26000 |
j-invariant |
L |
4.8802152270003 |
L(r)(E,1)/r! |
Ω |
0.26968493333136 |
Real period |
R |
9.0479938291336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730y1 650j1 |
Quadratic twists by: 5 -11 |