Atkin-Lehner |
2- 3+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bm |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
2918400 |
Modular degree for the optimal curve |
Δ |
-3.2221385638266E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-388748,-288503153] |
[a1,a2,a3,a4,a6] |
Generators |
[1285:35861:1] |
Generators of the group modulo torsion |
j |
-330092666136002043/1637015985280000 |
j-invariant |
L |
9.3740795516485 |
L(r)(E,1)/r! |
Ω |
0.086340926776119 |
Real period |
R |
1.085705227547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110g1 |
Quadratic twists by: -3 |