Atkin-Lehner |
2+ 3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110i |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-15731820 = -1 · 22 · 36 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,2241] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:66:1] [12:3:1] |
Generators of the group modulo torsion |
j |
-4750104241/21580 |
j-invariant |
L |
7.119581357759 |
L(r)(E,1)/r! |
Ω |
2.2184564828695 |
Real period |
R |
0.80231248754853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790g1 |
Quadratic twists by: -3 |