Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490dh |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
1.1732614499899E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3090724816,-66136363611904] |
[a1,a2,a3,a4,a6] |
Generators |
[219908:99332732:1] |
Generators of the group modulo torsion |
j |
307903452713493241418533/1106380800000 |
j-invariant |
L |
10.477425270092 |
L(r)(E,1)/r! |
Ω |
0.020248108996027 |
Real period |
R |
9.2402149682117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470da1 35490bs1 |
Quadratic twists by: -3 13 |