Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956c |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
391104 |
Modular degree for the optimal curve |
Δ |
9107094264576 = 28 · 3 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46076,3819432] |
[a1,a2,a3,a4,a6] |
Generators |
[121:34:1] |
Generators of the group modulo torsion |
j |
7330492624/6171 |
j-invariant |
L |
5.5571470482506 |
L(r)(E,1)/r! |
Ω |
0.72543544543162 |
Real period |
R |
3.8302147005713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956bl1 |
Quadratic twists by: -7 |