Atkin-Lehner |
3- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
100425g |
Isogeny class |
Conductor |
100425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-290918671875 = -1 · 33 · 57 · 13 · 1032 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,842,24469] |
[a1,a2,a3,a4,a6] |
j |
4220112896/18618795 |
j-invariant |
L |
8.3608154286397 |
L(r)(E,1)/r! |
Ω |
0.69673462747711 |
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 |
20085c1 |
Quadratic twists by: 5 |