Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070ci |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
541898188231400 = 23 · 52 · 76 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20385,15287] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:886:1] |
Generators of the group modulo torsion |
j |
7962857630209/4606058600 |
j-invariant |
L |
15.908814043565 |
L(r)(E,1)/r! |
Ω |
0.44012150390077 |
Real period |
R |
2.0081341052074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430g2 |
Quadratic twists by: -7 |