Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280ba |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1082322864000000000 = -1 · 213 · 33 · 59 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304256,81820800] |
[a1,a2,a3,a4,a6] |
Generators |
[216:5112:1] |
Generators of the group modulo torsion |
j |
-760470979826452609/264238980468750 |
j-invariant |
L |
5.8204061157573 |
L(r)(E,1)/r! |
Ω |
0.26008637691664 |
Real period |
R |
1.8648952230167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bd2 |
Quadratic twists by: -4 |