Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450l |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6041088 |
Modular degree for the optimal curve |
Δ |
-7.3662033117493E+20 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 -1 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4250317,3617742181] |
[a1,a2,a3,a4,a6] |
Generators |
[77173:21392424:1] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
2.3974722399218 |
L(r)(E,1)/r! |
Ω |
0.15675869088979 |
Real period |
R |
7.6470153742181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bo1 1850m1 |
Quadratic twists by: 5 37 |