Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109551c |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1415232 |
Modular degree for the optimal curve |
Δ |
-33398212416705747 = -1 · 37 · 13 · 537 |
Discriminant |
Eigenvalues |
2 3+ 2 2 -3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-461612,121189493] |
[a1,a2,a3,a4,a6] |
Generators |
[43578262104042:134437954451255:102109494024] |
Generators of the group modulo torsion |
j |
-490795651072/1506843 |
j-invariant |
L |
13.612719615948 |
L(r)(E,1)/r! |
Ω |
0.37003174297562 |
Real period |
R |
18.393988994676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2067a1 |
Quadratic twists by: 53 |