Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bp |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.623919239575E+28 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10476739201,412701188180799] |
[a1,a2,a3,a4,a6] |
Generators |
[17074:15453125:1] |
Generators of the group modulo torsion |
j |
3881076261058705264477077945608/495580822624218994140625 |
j-invariant |
L |
2.6037385344883 |
L(r)(E,1)/r! |
Ω |
0.037699936927582 |
Real period |
R |
3.4532399078527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bs2 25760k2 |
Quadratic twists by: -4 8 |