Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098d |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
799680 |
Modular degree for the optimal curve |
Δ |
-3.5961154400829E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -1 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16981799,-27096574539] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
0.66907351703064 |
L(r)(E,1)/r! |
Ω |
0.037170750946147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784cq1 21294cn1 49686bl1 546e1 |
Quadratic twists by: -4 -3 -7 13 |