Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122x |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1227393124330464 = -1 · 25 · 312 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5504,-1691517] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1601:1] |
Generators of the group modulo torsion |
j |
-25290503969977/1683666837216 |
j-invariant |
L |
9.2759171078662 |
L(r)(E,1)/r! |
Ω |
0.21374717929185 |
Real period |
R |
2.1698338051986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374a2 |
Quadratic twists by: -3 |