Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690p |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-10260395416763100 = -1 · 22 · 36 · 52 · 73 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9098,4865824] |
[a1,a2,a3,a4,a6] |
j |
3449795831/425079900 |
j-invariant |
L |
2.5007254139478 |
L(r)(E,1)/r! |
Ω |
0.31259067662503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570j1 |
Quadratic twists by: 17 |