Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bi |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-10293750000 = -1 · 24 · 33 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 -3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-5625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:25:1] |
Generators of the group modulo torsion |
j |
-34560/61 |
j-invariant |
L |
7.0882305579619 |
L(r)(E,1)/r! |
Ω |
0.51204804040085 |
Real period |
R |
1.1535751197566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109800f1 109800a1 |
Quadratic twists by: -3 5 |