Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cl |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1052324704815022080 = 217 · 35 · 5 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3344856,-2355182316] |
[a1,a2,a3,a4,a6] |
Generators |
[-1044:210:1] |
Generators of the group modulo torsion |
j |
1010406591783329842009/256915211136480 |
j-invariant |
L |
9.1027345454648 |
L(r)(E,1)/r! |
Ω |
0.11163794002925 |
Real period |
R |
4.0769000925535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430c2 |
Quadratic twists by: -4 |