Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1260b |
Isogeny class |
Conductor |
1260 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
4065949440 = 28 · 33 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,1342] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
1210991472/588245 |
j-invariant |
L |
2.5544545279254 |
L(r)(E,1)/r! |
Ω |
1.2354482906789 |
Real period |
R |
2.0676337060791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5040v2 20160v2 1260d4 6300a2 |
Quadratic twists by: -4 8 -3 5 |