Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930de |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
440709352737280200 = 23 · 32 · 52 · 714 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-169816851,851749863705] |
[a1,a2,a3,a4,a6] |
Generators |
[7524:-3705:1] |
Generators of the group modulo torsion |
j |
4603390551972799451373601/3745967689800 |
j-invariant |
L |
9.1504825834596 |
L(r)(E,1)/r! |
Ω |
0.18528873416015 |
Real period |
R |
2.0577079840948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cj6 3990t5 |
Quadratic twists by: -3 -7 |