Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bp |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
-61293020723712000 = -1 · 212 · 319 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15288,-11928528] |
[a1,a2,a3,a4,a6] |
j |
-771852260717/119712931101 |
j-invariant |
L |
0.62350356508863 |
L(r)(E,1)/r! |
Ω |
0.15587554604052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725n1 123600cs1 |
Quadratic twists by: -4 5 |