Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114g |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
525283870805568 = 26 · 38 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74309,-7749363] |
[a1,a2,a3,a4,a6] |
Generators |
[346:2675:1] |
Generators of the group modulo torsion |
j |
1124539551199/13017024 |
j-invariant |
L |
2.998821628364 |
L(r)(E,1)/r! |
Ω |
0.28936253658288 |
Real period |
R |
5.1817724294539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912ci1 27342bq1 9114n1 |
Quadratic twists by: -4 -3 -7 |