Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bc |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-243281880000000000 = -1 · 212 · 310 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,124792,16548912] |
[a1,a2,a3,a4,a6] |
Generators |
[1508:60264:1] |
Generators of the group modulo torsion |
j |
5373044975/6082047 |
j-invariant |
L |
5.5222319976573 |
L(r)(E,1)/r! |
Ω |
0.20798536315925 |
Real period |
R |
3.3188826119669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999185011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725i1 123600cr1 |
Quadratic twists by: -4 5 |