Atkin-Lehner |
2- 3- 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570m |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
28901376 |
Modular degree for the optimal curve |
Δ |
6.7305003365821E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101698268,-5102349793] |
[a1,a2,a3,a4,a6] |
Generators |
[28341:4444069:1] |
Generators of the group modulo torsion |
j |
159564710883581653058281081/92325107497697280000000 |
j-invariant |
L |
11.581929999538 |
L(r)(E,1)/r! |
Ω |
0.052131962793479 |
Real period |
R |
3.9672432700574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190l1 |
Quadratic twists by: -3 |