Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700c |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2015503843500000000 = 28 · 36 · 59 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-860508,-299266488] |
[a1,a2,a3,a4,a6] |
Generators |
[-51888904228:-191163788775:107850176] |
Generators of the group modulo torsion |
j |
17616878626697296/503875960875 |
j-invariant |
L |
5.2948066883702 |
L(r)(E,1)/r! |
Ω |
0.15702541728947 |
Real period |
R |
16.859712194868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740v2 |
Quadratic twists by: 5 |