Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980p |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
332065151964000000 = 28 · 33 · 56 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-267076,45227924] |
[a1,a2,a3,a4,a6] |
Generators |
[407:2028:1] |
Generators of the group modulo torsion |
j |
1705021456336/268734375 |
j-invariant |
L |
7.598203186477 |
L(r)(E,1)/r! |
Ω |
0.29131988950015 |
Real period |
R |
2.173499378597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5460g2 |
Quadratic twists by: 13 |