Atkin-Lehner |
2- 5+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550q |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-29249054200 = -1 · 23 · 52 · 175 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2308,43272] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:300:1] |
Generators of the group modulo torsion |
j |
-54387973519465/1169962168 |
j-invariant |
L |
4.5038549394861 |
L(r)(E,1)/r! |
Ω |
1.1783616604171 |
Real period |
R |
0.25480886405533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550f1 |
Quadratic twists by: 5 |