Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600n |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
238239225000000 = 26 · 34 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37158,-2642688] |
[a1,a2,a3,a4,a6] |
j |
48228544/2025 |
j-invariant |
L |
1.3790169051843 |
L(r)(E,1)/r! |
Ω |
0.34475446189593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600cq1 23520bp1 2400k1 |
Quadratic twists by: -4 5 -7 |