Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305g |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
643200 |
Modular degree for the optimal curve |
Δ |
-201144727780755 = -1 · 3 · 5 · 1111 · 47 |
Discriminant |
Eigenvalues |
2 3+ 5+ -5 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6494,649791] |
[a1,a2,a3,a4,a6] |
Generators |
[11802:453867:8] |
Generators of the group modulo torsion |
j |
17093758976/113540955 |
j-invariant |
L |
5.4531595104776 |
L(r)(E,1)/r! |
Ω |
0.40978677910903 |
Real period |
R |
3.3268273808295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7755b1 |
Quadratic twists by: -11 |