Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cb |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-536256 = -1 · 26 · 32 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] [0:6:1] |
Generators of the group modulo torsion |
j |
-448/171 |
j-invariant |
L |
7.5726228771412 |
L(r)(E,1)/r! |
Ω |
2.3749371183463 |
Real period |
R |
0.79713930302697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376cr1 89376cg1 |
Quadratic twists by: -4 -7 |