Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794bb |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
232320 |
Modular degree for the optimal curve |
Δ |
-492535549376944128 = -1 · 211 · 310 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218589,-51931725] |
[a1,a2,a3,a4,a6] |
Generators |
[559:692:1] |
Generators of the group modulo torsion |
j |
-5388492278257/2297714688 |
j-invariant |
L |
5.9084222600465 |
L(r)(E,1)/r! |
Ω |
0.10814826978331 |
Real period |
R |
2.483300460766 |
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 |
110352cl1 41382r1 13794j1 |
Quadratic twists by: -4 -3 -11 |