Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11850b |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-1771193207812500000 = -1 · 25 · 315 · 511 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82000,-64700000] |
[a1,a2,a3,a4,a6] |
Generators |
[108975:6848950:27] |
Generators of the group modulo torsion |
j |
-3902595313317121/113356365300000 |
j-invariant |
L |
3.1949588021868 |
L(r)(E,1)/r! |
Ω |
0.11503740619558 |
Real period |
R |
6.9433041561171 |
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 |
94800cz1 35550bo1 2370m1 |
Quadratic twists by: -4 -3 5 |