Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715m |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4845598581921075 = 35 · 52 · 118 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3918709,-2986137343] |
[a1,a2,a3,a4,a6] |
j |
3756613240458777889/2735214075 |
j-invariant |
L |
2.1460692580388 |
L(r)(E,1)/r! |
Ω |
0.10730348651758 |
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 |
10065i2 |
Quadratic twists by: -11 |