Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-26775000000000000 = -1 · 212 · 32 · 514 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311865,-67599225] |
[a1,a2,a3,a4,a6] |
Generators |
[695:7200:1] |
Generators of the group modulo torsion |
j |
-818964485892588736/6536865234375 |
j-invariant |
L |
8.8402992123791 |
L(r)(E,1)/r! |
Ω |
0.10096499723551 |
Real period |
R |
3.1270735377596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hk2 57120bd1 |
Quadratic twists by: -4 8 |