Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600du |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
-45741931200000000 = -1 · 212 · 35 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-898333,-328182037] |
[a1,a2,a3,a4,a6] |
j |
-425920000/243 |
j-invariant |
L |
2.326037714151 |
L(r)(E,1)/r! |
Ω |
0.077534558634001 |
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 |
117600fu1 117600em1 2400f1 |
Quadratic twists by: -4 5 -7 |