Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400l |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-1805587200 = -1 · 28 · 38 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-2860] |
[a1,a2,a3,a4,a6] |
Generators |
[34:162:1] |
Generators of the group modulo torsion |
j |
-640000/387 |
j-invariant |
L |
8.2059230207267 |
L(r)(E,1)/r! |
Ω |
0.55816666327094 |
Real period |
R |
1.8376955220182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800v1 77400bt1 |
Quadratic twists by: -3 5 |