Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.3845933305299E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2068865,1365924225] |
[a1,a2,a3,a4,a6] |
Generators |
[227:30132:1] |
Generators of the group modulo torsion |
j |
-3735772816268612449/909650165760000 |
j-invariant |
L |
6.644115770535 |
L(r)(E,1)/r! |
Ω |
0.16771285411772 |
Real period |
R |
4.9520025013725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jp1 3570v1 |
Quadratic twists by: -4 8 |