Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640h |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-201352366080 = -1 · 211 · 312 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3963,-98422] |
[a1,a2,a3,a4,a6] |
Generators |
[73:36:1] |
Generators of the group modulo torsion |
j |
-4610398322/134865 |
j-invariant |
L |
5.7298546518378 |
L(r)(E,1)/r! |
Ω |
0.30034127964117 |
Real period |
R |
2.384726576165 |
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 |
13320m1 106560fq1 8880d1 |
Quadratic twists by: -4 8 -3 |