Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169b |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-1162031708148003 = -1 · 39 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 11+ 7 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,17199,1391465] |
[a1,a2,a3,a4,a6] |
Generators |
[346290:48813601:39304] |
Generators of the group modulo torsion |
j |
242970624/501809 |
j-invariant |
L |
11.723708300264 |
L(r)(E,1)/r! |
Ω |
0.3374682605656 |
Real period |
R |
8.6850451354481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169d1 13167a1 |
Quadratic twists by: -3 -7 |