Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098i |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12720754476874626 = -1 · 2 · 3 · 7 · 1313 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-620989828,-5956328145220] |
[a1,a2,a3,a4,a6] |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
1.4819191602002 |
L(r)(E,1)/r! |
Ω |
0.015121624083676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784by2 21294cd2 49686i2 546f2 |
Quadratic twists by: -4 -3 -7 13 |