Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430l |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-26990518432554720 = -1 · 25 · 37 · 5 · 174 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29034,-8123180] |
[a1,a2,a3,a4,a6] |
Generators |
[3409802:-43410379:10648] |
Generators of the group modulo torsion |
j |
-3713002274022049/37024030771680 |
j-invariant |
L |
4.9604951441921 |
L(r)(E,1)/r! |
Ω |
0.15916348464787 |
Real period |
R |
7.7915093954366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810n4 |
Quadratic twists by: -3 |