Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920t |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-653211564364800000 = -1 · 213 · 312 · 55 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169576,-47213840] |
[a1,a2,a3,a4,a6] |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
0.8995097084997 |
L(r)(E,1)/r! |
Ω |
0.11243871356336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990o1 127680gb1 95760em1 |
Quadratic twists by: -4 8 -3 |