Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bi |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6581250000 = 24 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2633,-50988] |
[a1,a2,a3,a4,a6] |
Generators |
[-3820:184:125] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
3.9604278108197 |
L(r)(E,1)/r! |
Ω |
0.6665890723657 |
Real period |
R |
5.9413332366285 |
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 |
3900k1 62400gm1 46800ea1 3120w1 |
Quadratic twists by: -4 8 -3 5 |