Atkin-Lehner |
2+ 3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
70290b |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-6260834891520 = -1 · 28 · 36 · 5 · 113 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2160,126976] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:368:1] |
Generators of the group modulo torsion |
j |
-1529221973761/8588250880 |
j-invariant |
L |
4.1314037062551 |
L(r)(E,1)/r! |
Ω |
0.65168519155228 |
Real period |
R |
3.1697848594361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7810f1 |
Quadratic twists by: -3 |