Atkin-Lehner |
2+ 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bn |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-56765772000 = -1 · 25 · 39 · 53 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1449,24493] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-76:1] |
Generators of the group modulo torsion |
j |
-461710681489/77868000 |
j-invariant |
L |
5.565902682014 |
L(r)(E,1)/r! |
Ω |
1.074005986871 |
Real period |
R |
0.43186465360275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630m1 |
Quadratic twists by: -3 |