Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15210bu |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
12812904000 = 26 · 36 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-617,2409] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:96:1] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
7.8243259934152 |
L(r)(E,1)/r! |
Ω |
1.1200782984653 |
Real period |
R |
0.38808427768624 |
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 |
121680fn1 1690d1 76050by1 15210q1 |
Quadratic twists by: -4 -3 5 13 |