Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bh |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2558834845747200 = -1 · 211 · 319 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14475,2524390] |
[a1,a2,a3,a4,a6] |
Generators |
[35938:2407887:8] |
Generators of the group modulo torsion |
j |
-8986321250/68555889 |
j-invariant |
L |
8.0628341494553 |
L(r)(E,1)/r! |
Ω |
0.39187755981638 |
Real period |
R |
5.1437202435589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800m1 77400v1 |
Quadratic twists by: -3 5 |