Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475u |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36737312283984375 = 314 · 58 · 7 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-589890380,5514634047872] |
[a1,a2,a3,a4,a6] |
Generators |
[112982:107805:8] |
Generators of the group modulo torsion |
j |
1992921067618244196557041/3225223575 |
j-invariant |
L |
2.6684899935394 |
L(r)(E,1)/r! |
Ω |
0.16604967746864 |
Real period |
R |
4.0176079099789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825k6 16695k5 |
Quadratic twists by: -3 5 |