Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800f |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7504143750000 = -1 · 24 · 39 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 -3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,151875] |
[a1,a2,a3,a4,a6] |
j |
-34560/61 |
j-invariant |
L |
2.6546266640616 |
L(r)(E,1)/r! |
Ω |
0.66365669259916 |
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 |
109800bi1 109800bd1 |
Quadratic twists by: -3 5 |