Atkin-Lehner |
3- 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23919f |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-84423789242314011 = -1 · 313 · 74 · 173 · 672 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -1 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1409542,643799632] |
[a1,a2,a3,a4,a6] |
Generators |
[497:8140:1] [-1108:29095:1] |
Generators of the group modulo torsion |
j |
-309712036104596389408768/84423789242314011 |
j-invariant |
L |
4.2177237752645 |
L(r)(E,1)/r! |
Ω |
0.33332337755878 |
Real period |
R |
0.040556247607181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71757m1 |
Quadratic twists by: -3 |