Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010o |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13305600 |
Modular degree for the optimal curve |
Δ |
4.1386217260557E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 -1 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77638725,244460584021] |
[a1,a2,a3,a4,a6] |
j |
70995589731296149284939601/5677121709267033784320 |
j-invariant |
L |
0.76241436699256 |
L(r)(E,1)/r! |
Ω |
0.076241436508996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670q1 |
Quadratic twists by: -3 |