Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920cb |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1255485407232000 = 219 · 3 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200704120,1094349382100] |
[a1,a2,a3,a4,a6] |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
5.2397367905383 |
L(r)(E,1)/r! |
Ω |
0.21832236627254 |
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 |
3990g3 127680dv4 95760eb4 |
Quadratic twists by: -4 8 -3 |