Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344ef |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-177125584896 = -1 · 212 · 39 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1404,0] |
[a1,a2,a3,a4,a6] |
Generators |
[13:143:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.094725471904 |
L(r)(E,1)/r! |
Ω |
0.60578071172841 |
Real period |
R |
2.515235861991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ef2 48672bi1 97344ee2 97344ed2 |
Quadratic twists by: -4 8 -3 13 |