Atkin-Lehner |
2- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150bp |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-25075000000 = -1 · 26 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,695,2697] |
[a1,a2,a3,a4,a6] |
Generators |
[19:140:1] |
Generators of the group modulo torsion |
j |
95170815/64192 |
j-invariant |
L |
8.2469939352606 |
L(r)(E,1)/r! |
Ω |
0.75113030985852 |
Real period |
R |
0.6099691674291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150g1 |
Quadratic twists by: 5 |