Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bq |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1949766487200 = -1 · 25 · 39 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-140022,-20132204] |
[a1,a2,a3,a4,a6] |
Generators |
[728233:10515844:1331] |
Generators of the group modulo torsion |
j |
-16658916431011465/106983072 |
j-invariant |
L |
4.3743917718285 |
L(r)(E,1)/r! |
Ω |
0.12340142565858 |
Real period |
R |
8.8621175736068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bx1 59850gt1 |
Quadratic twists by: -3 5 |