Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602t |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
95648200704 = 211 · 34 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2085,32619] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:260:1] |
Generators of the group modulo torsion |
j |
596330736961/56899584 |
j-invariant |
L |
9.035086235849 |
L(r)(E,1)/r! |
Ω |
1.0387438897575 |
Real period |
R |
0.13178921903404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602bi1 |
Quadratic twists by: 41 |