Atkin-Lehner |
2+ 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282h |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.415774048051E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1394118,271809076] |
[a1,a2,a3,a4,a6] |
Generators |
[-1075:23501:1] [-1060:24146:1] |
Generators of the group modulo torsion |
j |
411050293632002943073/194207688347194368 |
j-invariant |
L |
6.4398437439848 |
L(r)(E,1)/r! |
Ω |
0.16403200075797 |
Real period |
R |
4.9074599119583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094s2 |
Quadratic twists by: -3 |