Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70602p |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
461435468256 = 25 · 36 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35336,2541737] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1:1] |
Generators of the group modulo torsion |
j |
1726796708449/163296 |
j-invariant |
L |
8.0738094990575 |
L(r)(E,1)/r! |
Ω |
0.89636000046092 |
Real period |
R |
0.90073290808107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602bm1 |
Quadratic twists by: 41 |