Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368n |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
12 |
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 |
[240530:2716254:125] |
Generators of the group modulo torsion |
j |
-145765603223714807432/10998738542547 |
j-invariant |
L |
6.0518695895304 |
L(r)(E,1)/r! |
Ω |
0.23508693731631 |
Real period |
R |
2.1452594157322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368r1 92736el1 15456h1 |
Quadratic twists by: -4 8 -3 |