Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dt |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2868750000 = -1 · 24 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,300,-1625] |
[a1,a2,a3,a4,a6] |
Generators |
[5220:48125:64] |
Generators of the group modulo torsion |
j |
442368/425 |
j-invariant |
L |
7.5972306733078 |
L(r)(E,1)/r! |
Ω |
0.78063841740892 |
Real period |
R |
4.8660368896667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15300h1 61200dh1 12240bb1 |
Quadratic twists by: -4 -3 5 |