Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920g |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-4557293694720 = -1 · 28 · 38 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,-102598] |
[a1,a2,a3,a4,a6] |
Generators |
[82:702:1] |
Generators of the group modulo torsion |
j |
91765424/24419655 |
j-invariant |
L |
3.4067343808644 |
L(r)(E,1)/r! |
Ω |
0.36380981612608 |
Real period |
R |
1.1705066171213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640p1 |
Quadratic twists by: -3 |