Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420a |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-12236352480000 = -1 · 28 · 37 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26781,-1686375] |
[a1,a2,a3,a4,a6] |
Generators |
[2954:49725:8] |
Generators of the group modulo torsion |
j |
-68579602161664/395026875 |
j-invariant |
L |
3.3569288755496 |
L(r)(E,1)/r! |
Ω |
0.18653569913132 |
Real period |
R |
4.4990434235071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420i1 |
Quadratic twists by: -11 |