Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810l |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
48421800000 = 26 · 34 · 55 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-321661,70083539] |
[a1,a2,a3,a4,a6] |
Generators |
[323:-36:1] |
Generators of the group modulo torsion |
j |
3680603373404967217489/48421800000 |
j-invariant |
L |
6.0446662083734 |
L(r)(E,1)/r! |
Ω |
0.79937343338867 |
Real period |
R |
1.2602925316038 |
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 |
102480bu1 38430y1 64050v1 89670cq1 |
Quadratic twists by: -4 -3 5 -7 |