Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cf |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
188104952512512 = 221 · 310 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3023806476,63999871619056] |
[a1,a2,a3,a4,a6] |
Generators |
[36149447046776360:500371477680979044:1087959899125] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
7.07571790168 |
L(r)(E,1)/r! |
Ω |
0.14333310866787 |
Real period |
R |
24.682775637322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999666211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gd6 3906h5 41664bt6 |
Quadratic twists by: -4 8 -3 |