Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77740k |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
7804911538528000 = 28 · 53 · 139 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1114780,-453386972] |
[a1,a2,a3,a4,a6] |
j |
123991389857104/6316375 |
j-invariant |
L |
2.644697815336 |
L(r)(E,1)/r! |
Ω |
0.14692765849911 |
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 |
5980b2 |
Quadratic twists by: 13 |