Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024bw |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-4264176 = -1 · 24 · 3 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,519] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
-4302592/111 |
j-invariant |
L |
3.9544897316463 |
L(r)(E,1)/r! |
Ω |
2.4556599651742 |
Real period |
R |
0.53678573783992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21756k1 87024ei1 |
Quadratic twists by: -4 -7 |