Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008m |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12293120 |
Modular degree for the optimal curve |
Δ |
6.2231379322989E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21129295,-35396969594] |
[a1,a2,a3,a4,a6] |
Generators |
[558496642:32074411572:79507] |
Generators of the group modulo torsion |
j |
65201677583452498396788736/3889461207686804725437 |
j-invariant |
L |
4.41650685925 |
L(r)(E,1)/r! |
Ω |
0.070679746395589 |
Real period |
R |
8.9265961550219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504v1 |
Quadratic twists by: -4 |