Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93100bt |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-24534993056000 = -1 · 28 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26868,1702868] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:12005:8] |
Generators of the group modulo torsion |
j |
-1661168/19 |
j-invariant |
L |
7.5043660086648 |
L(r)(E,1)/r! |
Ω |
0.67534312005989 |
Real period |
R |
2.7779826990368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100bw1 93100bj1 |
Quadratic twists by: 5 -7 |