Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260c |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-4094185200 = -1 · 24 · 3 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1486,22765] |
[a1,a2,a3,a4,a6] |
Generators |
[23:15:1] |
Generators of the group modulo torsion |
j |
-192914176/2175 |
j-invariant |
L |
5.4103485823044 |
L(r)(E,1)/r! |
Ω |
1.3942906604588 |
Real period |
R |
1.9401795964897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740g1 |
Quadratic twists by: -7 |