Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322p |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
37480914310413924 = 22 · 38 · 74 · 296 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-87482,3517400] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
2.5814975637488 |
L(r)(E,1)/r! |
Ω |
0.32268719546822 |
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 |
105966bu3 42a3 |
Quadratic twists by: -3 29 |