Atkin-Lehner |
3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46893f |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-4471895084698503 = -1 · 32 · 79 · 114 · 292 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40253,-813560] |
[a1,a2,a3,a4,a6] |
Generators |
[196:3730:1] |
Generators of the group modulo torsion |
j |
178738971137/110817729 |
j-invariant |
L |
3.5632543608513 |
L(r)(E,1)/r! |
Ω |
0.25154192192471 |
Real period |
R |
1.7707060186801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46893o1 |
Quadratic twists by: -7 |