Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270r |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-117810 = -1 · 2 · 32 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77,231] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-1:1] |
Generators of the group modulo torsion |
j |
-51520374361/117810 |
j-invariant |
L |
3.0805849981853 |
L(r)(E,1)/r! |
Ω |
3.3259715243161 |
Real period |
R |
0.46311054915263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117810dd1 |
Quadratic twists by: -3 |