Atkin-Lehner |
2+ 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150i |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1297920 |
Modular degree for the optimal curve |
Δ |
-100581852262500000 = -1 · 25 · 313 · 58 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,80750,12476500] |
[a1,a2,a3,a4,a6] |
j |
3726686632324319/6437238544800 |
j-invariant |
L |
0.92151705641664 |
L(r)(E,1)/r! |
Ω |
0.23037933637059 |
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 |
21630bf1 |
Quadratic twists by: 5 |