Atkin-Lehner |
2+ 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010f |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
5740983000 = 23 · 33 · 53 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3054,65628] |
[a1,a2,a3,a4,a6] |
j |
116693598930363/212629000 |
j-invariant |
L |
2.7015482452048 |
L(r)(E,1)/r! |
Ω |
1.3507741224509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53010bg2 |
Quadratic twists by: -3 |