Atkin-Lehner |
5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735j |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1846728073133125 = -1 · 54 · 72 · 137 · 312 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1166691,484563134] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:30445:1] [378:9697:1] |
Generators of the group modulo torsion |
j |
-3584224452685384602241/37688328023125 |
j-invariant |
L |
9.6248068201439 |
L(r)(E,1)/r! |
Ω |
0.42471793995379 |
Real period |
R |
0.80934443408857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735o1 |
Quadratic twists by: -7 |