Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802b |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5911032106655802 = 2 · 39 · 79 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110553,13683851] |
[a1,a2,a3,a4,a6] |
j |
188132517/7442 |
j-invariant |
L |
0.84442453462297 |
L(r)(E,1)/r! |
Ω |
0.42221226627352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53802bi2 53802i2 |
Quadratic twists by: -3 -7 |