Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105n |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-3.5513574872773E+19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1821346,-987983823] |
[a1,a2,a3,a4,a6] |
Generators |
[31877648:2766436081:4096] |
Generators of the group modulo torsion |
j |
-5679538912157003776/301860405721875 |
j-invariant |
L |
10.618327929183 |
L(r)(E,1)/r! |
Ω |
0.06477849626224 |
Real period |
R |
10.244842561792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015r1 |
Quadratic twists by: -7 |