Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27508b |
Isogeny class |
Conductor |
27508 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
30791464912 = 24 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 0 -2 2 2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2116,36501] |
[a1,a2,a3,a4,a6] |
Generators |
[-3036:11109:64] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
4.6360956546662 |
L(r)(E,1)/r! |
Ω |
1.1686460721774 |
Real period |
R |
3.9670656198146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110032g1 52a2 |
Quadratic twists by: -4 -23 |