Atkin-Lehner |
2+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150m |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
406272 |
Modular degree for the optimal curve |
Δ |
-3286630400000000 = -1 · 223 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -4 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8526,-2775552] |
[a1,a2,a3,a4,a6] |
Generators |
[20526:1028733:8] |
Generators of the group modulo torsion |
j |
-4385977971409/210344345600 |
j-invariant |
L |
5.3750519211543 |
L(r)(E,1)/r! |
Ω |
0.19595757678849 |
Real period |
R |
6.8574178264034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030i1 |
Quadratic twists by: 5 |