Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434i |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-232587718272 = -1 · 27 · 36 · 73 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2520,-53312] |
[a1,a2,a3,a4,a6] |
Generators |
[99:763:1] |
Generators of the group modulo torsion |
j |
-2428257525121/319050368 |
j-invariant |
L |
7.1688499952825 |
L(r)(E,1)/r! |
Ω |
0.3344577850251 |
Real period |
R |
3.5723741113178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826j1 |
Quadratic twists by: -3 |