Atkin-Lehner |
3+ 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805i |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
42029405145 = 39 · 5 · 7 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7224,-234325] |
[a1,a2,a3,a4,a6] |
j |
2118358441107/2135315 |
j-invariant |
L |
4.1430346692792 |
L(r)(E,1)/r! |
Ω |
0.51787933942307 |
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 |
77805d1 |
Quadratic twists by: -3 |