Atkin-Lehner |
2- 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528w |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
435089620224 = 28 · 32 · 7 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5797,168841] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:561:1] [-39:578:1] |
Generators of the group modulo torsion |
j |
84172177604608/1699568829 |
j-invariant |
L |
9.2290300981032 |
L(r)(E,1)/r! |
Ω |
0.94117265471976 |
Real period |
R |
0.49029421171611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27132e1 |
Quadratic twists by: -4 |