Atkin-Lehner |
2- 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850ch |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-137188940302620000 = -1 · 25 · 37 · 54 · 175 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,105162,-12009069] |
[a1,a2,a3,a4,a6] |
Generators |
[195:3897:1] |
Generators of the group modulo torsion |
j |
205787953285525775/219502304484192 |
j-invariant |
L |
7.0655255517088 |
L(r)(E,1)/r! |
Ω |
0.17737178245274 |
Real period |
R |
0.26556368128956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850u1 |
Quadratic twists by: 5 |