Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450z |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-8239461264000000 = -1 · 210 · 313 · 56 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-115688,15714281] |
[a1,a2,a3,a4,a6] |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
4.0988575363508 |
L(r)(E,1)/r! |
Ω |
0.40988575368425 |
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 |
1938e1 |
Quadratic twists by: 5 |