Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650h |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-84456000000 = -1 · 29 · 33 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4525,116125] |
[a1,a2,a3,a4,a6] |
Generators |
[39:10:1] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
3.4949825170436 |
L(r)(E,1)/r! |
Ω |
1.0845380917677 |
Real period |
R |
3.2225539551177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346i1 |
Quadratic twists by: 5 |