Atkin-Lehner |
5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77315g |
Isogeny class |
Conductor |
77315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4896195819824605625 = 54 · 7 · 479 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3821984,2874935115] |
[a1,a2,a3,a4,a6] |
j |
5517084663/4375 |
j-invariant |
L |
4.3453023886892 |
L(r)(E,1)/r! |
Ω |
0.24140568637483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77315c2 |
Quadratic twists by: -47 |