Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950o |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-9614800000000 = -1 · 210 · 58 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 0 5- -1 1 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5195,37197] |
[a1,a2,a3,a4,a6] |
Generators |
[15:336:1] |
Generators of the group modulo torsion |
j |
39700749375/24613888 |
j-invariant |
L |
7.8737516805846 |
L(r)(E,1)/r! |
Ω |
0.44969593320301 |
Real period |
R |
0.87545284482594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27950i1 |
Quadratic twists by: 5 |