Atkin-Lehner |
3+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51615a |
Isogeny class |
Conductor |
51615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17496710775 = 39 · 52 · 312 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5415,-151894] |
[a1,a2,a3,a4,a6] |
j |
892221974883/888925 |
j-invariant |
L |
1.1131460591608 |
L(r)(E,1)/r! |
Ω |
0.55657303000779 |
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 |
51615b2 |
Quadratic twists by: -3 |