Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bp |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-11276233113600 = -1 · 215 · 32 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6305,-249375] |
[a1,a2,a3,a4,a6] |
j |
-846053699912/344123325 |
j-invariant |
L |
3.1515375706463 |
L(r)(E,1)/r! |
Ω |
0.26262812424339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360da2 43680o2 |
Quadratic twists by: -4 8 |