Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314s |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
133523262 = 2 · 33 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 5 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332,-2175] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:81:8] |
Generators of the group modulo torsion |
j |
149467669443/4945306 |
j-invariant |
L |
6.9105532466656 |
L(r)(E,1)/r! |
Ω |
1.1209805382732 |
Real period |
R |
3.0823698586704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46314d1 |
Quadratic twists by: -3 |