Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cc |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1760800781250 = 2 · 35 · 510 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24040813,-45380336719] |
[a1,a2,a3,a4,a6] |
Generators |
[11991584470481724:-2346662351692994755:309464471744] |
Generators of the group modulo torsion |
j |
98344740391882129199881/112691250 |
j-invariant |
L |
7.7110146482757 |
L(r)(E,1)/r! |
Ω |
0.068180827360754 |
Real period |
R |
28.27413125806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130r3 |
Quadratic twists by: 5 |