Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7514a |
Isogeny class |
Conductor |
7514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3187753732358416 = -1 · 24 · 134 · 178 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7363,-2704920] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2359:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
1.2263264202394 |
L(r)(E,1)/r! |
Ω |
0.21360070975841 |
Real period |
R |
1.4353023705146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112s2 67626w2 97682o2 442c2 |
Quadratic twists by: -4 -3 13 17 |