Atkin-Lehner |
5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425c |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
102528 |
Modular degree for the optimal curve |
Δ |
-999603828125 = -1 · 57 · 74 · 732 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ -6 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1812,-37094] |
[a1,a2,a3,a4,a6] |
Generators |
[20:77:1] [34:238:1] |
Generators of the group modulo torsion |
j |
17537639/26645 |
j-invariant |
L |
4.8892597072237 |
L(r)(E,1)/r! |
Ω |
0.46454625745886 |
Real period |
R |
0.43853362542331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885k1 89425o1 |
Quadratic twists by: 5 -7 |