Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bo |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
30205440 |
Modular degree for the optimal curve |
Δ |
-1.1509692674608E+25 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -1 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106257930,452111514697] |
[a1,a2,a3,a4,a6] |
Generators |
[72795:11583661:27] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
17.286761150187 |
L(r)(E,1)/r! |
Ω |
0.070104617778691 |
Real period |
R |
5.3605478116256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450l1 1850d1 |
Quadratic twists by: 5 37 |