Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496u |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17575875072 = 29 · 36 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4611,-120346] |
[a1,a2,a3,a4,a6] |
j |
29047689224/47089 |
j-invariant |
L |
2.3176777433927 |
L(r)(E,1)/r! |
Ω |
0.57941943651297 |
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 |
62496j2 124992gu2 6944h2 |
Quadratic twists by: -4 8 -3 |