Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150i |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1784832000000 = -1 · 216 · 3 · 56 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1225,-66875] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/114229248 |
j-invariant |
L |
1.4147177629054 |
L(r)(E,1)/r! |
Ω |
0.35367944291036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3486m1 |
Quadratic twists by: 5 |