Atkin-Lehner |
2- 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bv |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65145761650606080 = 215 · 3 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222400,-38382080] |
[a1,a2,a3,a4,a6] |
j |
297009311917521601/15904726965480 |
j-invariant |
L |
1.7646188725408 |
L(r)(E,1)/r! |
Ω |
0.22057736219385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690v4 |
Quadratic twists by: -4 |