Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840cf |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5889746534400 = 222 · 32 · 52 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7041,-197505] |
[a1,a2,a3,a4,a6] |
j |
147281603041/22467600 |
j-invariant |
L |
1.0530338392271 |
L(r)(E,1)/r! |
Ω |
0.52651690915985 |
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 |
75840b2 18960n2 |
Quadratic twists by: -4 8 |