Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ce |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
Δ |
3.7633241866245E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24981333025,1519753273950625] |
[a1,a2,a3,a4,a6] |
Generators |
[90675:297500:1] |
Generators of the group modulo torsion |
j |
13154084057973759342630151347218/28711884968754052734375 |
j-invariant |
L |
7.0401594075527 |
L(r)(E,1)/r! |
Ω |
0.038115311910559 |
Real period |
R |
1.1993951645497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jr2 14280q2 |
Quadratic twists by: -4 8 |