Atkin-Lehner |
2+ 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61272b |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20022709248 = 210 · 33 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-915,-8194] |
[a1,a2,a3,a4,a6] |
j |
3064243500/724201 |
j-invariant |
L |
3.5315896444389 |
L(r)(E,1)/r! |
Ω |
0.88289741146664 |
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 |
122544f2 61272j2 |
Quadratic twists by: -4 -3 |