Atkin-Lehner |
3- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725cf |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-90523125 = -1 · 32 · 54 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,87,342] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-36:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
116436575/144837 |
j-invariant |
L |
8.7422479175695 |
L(r)(E,1)/r! |
Ω |
1.2791532259284 |
Real period |
R |
0.56953353606018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725q1 |
Quadratic twists by: 5 |