Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
2680a |
Isogeny class |
Conductor |
2680 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-345632027392000 = -1 · 211 · 53 · 675 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -1 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66227,6620654] |
[a1,a2,a3,a4,a6] |
Generators |
[118:670:1] |
Generators of the group modulo torsion |
j |
-15685523123710482/168765638375 |
j-invariant |
L |
3.3798865809619 |
L(r)(E,1)/r! |
Ω |
0.5418764078419 |
Real period |
R |
0.41582502726317 |
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 |
5360d1 21440a1 24120r1 13400k1 |
Quadratic twists by: -4 8 -3 5 |