Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415d |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
16245 = 32 · 5 · 192 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -3 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [0:1:1] |
Generators of the group modulo torsion |
j |
77824/45 |
j-invariant |
L |
2.1922701478587 |
L(r)(E,1)/r! |
Ω |
3.3184024639438 |
Real period |
R |
0.33032011211399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640dj1 16245m1 27075t1 5415g1 |
Quadratic twists by: -4 -3 5 -19 |