Atkin-Lehner |
2- 5+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
97850j |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-782800 = -1 · 24 · 52 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58,151] |
[a1,a2,a3,a4,a6] |
j |
-864043465/31312 |
j-invariant |
L |
11.265690164091 |
L(r)(E,1)/r! |
Ω |
2.8164225175925 |
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 |
97850d1 |
Quadratic twists by: 5 |