Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602s |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-3113658903936 = -1 · 27 · 3 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2220,75669] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3893:1] |
Generators of the group modulo torsion |
j |
17555727799/45177216 |
j-invariant |
L |
9.3490726253941 |
L(r)(E,1)/r! |
Ω |
0.55895658053029 |
Real period |
R |
0.19911829919375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602bd1 |
Quadratic twists by: 41 |