Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
850i |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-2656250000 = -1 · 24 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -4 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,195,2197] |
[a1,a2,a3,a4,a6] |
j |
84375/272 |
j-invariant |
L |
4.0702155151156 |
L(r)(E,1)/r! |
Ω |
1.0175538787789 |
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 |
6800p1 27200q1 7650t1 850e1 |
Quadratic twists by: -4 8 -3 5 |