Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648m |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-144861841152 = -1 · 28 · 310 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1257,6410] |
[a1,a2,a3,a4,a6] |
Generators |
[1810:27565:8] |
Generators of the group modulo torsion |
j |
1176960944/776223 |
j-invariant |
L |
6.5691971573084 |
L(r)(E,1)/r! |
Ω |
0.64640686228718 |
Real period |
R |
5.0813176194206 |
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 |
37296l1 6216p1 |
Quadratic twists by: -4 -3 |