Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1850b |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
-59200 = -1 · 26 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-625/2368 |
j-invariant |
L |
1.6194188071334 |
L(r)(E,1)/r! |
Ω |
1.5950487787824 |
Real period |
R |
0.50763927369342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14800o1 59200bb1 16650bv1 1850p1 |
Quadratic twists by: -4 8 -3 5 |