Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368r |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1540608 |
Modular degree for the optimal curve |
Δ |
-4105257163528582656 = -1 · 29 · 323 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7894227,-8537699018] |
[a1,a2,a3,a4,a6] |
Generators |
[97336358293557857830762715:-6451897170268927952435685294:16334697404439064160875] |
Generators of the group modulo torsion |
j |
-145765603223714807432/10998738542547 |
j-invariant |
L |
7.4288090219699 |
L(r)(E,1)/r! |
Ω |
0.045033965451872 |
Real period |
R |
41.240033758015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368n1 92736ex1 15456u1 |
Quadratic twists by: -4 8 -3 |