Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400dn |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
840499200000000 = 222 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24675,529250] |
[a1,a2,a3,a4,a6] |
Generators |
[295:4350:1] |
Generators of the group modulo torsion |
j |
961504803/486400 |
j-invariant |
L |
5.3277611553772 |
L(r)(E,1)/r! |
Ω |
0.44286196060392 |
Real period |
R |
3.0075743844121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550b1 68400do1 13680y1 |
Quadratic twists by: -4 -3 5 |