Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ct |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-46908817200000000 = -1 · 210 · 36 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1003013,386363531] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:37132:1] |
Generators of the group modulo torsion |
j |
-285682337242324465/120086572032 |
j-invariant |
L |
9.0182925713662 |
L(r)(E,1)/r! |
Ω |
0.3525184322646 |
Real period |
R |
0.1065936291833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350x1 |
Quadratic twists by: 5 |