Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ds |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2614886400 = 218 · 3 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3404801,-2417029215] |
[a1,a2,a3,a4,a6] |
Generators |
[-1177364012110:21759955:1105507304] |
Generators of the group modulo torsion |
j |
16651720753282540801/9975 |
j-invariant |
L |
6.4797892577562 |
L(r)(E,1)/r! |
Ω |
0.11114159129162 |
Real period |
R |
14.575527111447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000922468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ci4 31920ce4 |
Quadratic twists by: -4 8 |