Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109551b |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-115357203 = -1 · 35 · 132 · 532 |
Discriminant |
Eigenvalues |
-1 3+ -4 5 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85,-634] |
[a1,a2,a3,a4,a6] |
Generators |
[13:19:1] |
Generators of the group modulo torsion |
j |
-24196249/41067 |
j-invariant |
L |
2.5249884615967 |
L(r)(E,1)/r! |
Ω |
0.74309308630715 |
Real period |
R |
1.6989717882466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000325716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109551g1 |
Quadratic twists by: 53 |