Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122g |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
455937977246588928 = 213 · 33 · 7 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-951420,355953488] |
[a1,a2,a3,a4,a6] |
j |
3527581322356316447067/16886591749873664 |
j-invariant |
L |
2.3841690348757 |
L(r)(E,1)/r! |
Ω |
0.29802112936008 |
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 |
31122v2 |
Quadratic twists by: -3 |