Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944ba |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-81931303695417344 = -1 · 222 · 73 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 0 3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1573656,759424148] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:34048:1] |
Generators of the group modulo torsion |
j |
-105218824605397613209/20002759691264 |
j-invariant |
L |
7.1082563376206 |
L(r)(E,1)/r! |
Ω |
0.33200226036864 |
Real period |
R |
0.35683774811864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118a1 |
Quadratic twists by: -4 |