Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bi |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-77564625000 = -1 · 23 · 3 · 56 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70738,-7270969] |
[a1,a2,a3,a4,a6] |
Generators |
[4939:344163:1] |
Generators of the group modulo torsion |
j |
-2505315353383513/4964136 |
j-invariant |
L |
7.8819111429598 |
L(r)(E,1)/r! |
Ω |
0.14637141836155 |
Real period |
R |
5.9831893041894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346g2 |
Quadratic twists by: 5 |