Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184bj |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-558576559954944 = -1 · 210 · 36 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12241,1246823] |
[a1,a2,a3,a4,a6] |
Generators |
[74:867:1] |
Generators of the group modulo torsion |
j |
-198111610045696/545484921831 |
j-invariant |
L |
6.3948596629642 |
L(r)(E,1)/r! |
Ω |
0.4571313805046 |
Real period |
R |
0.38858629809956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184h1 25296e1 |
Quadratic twists by: -4 8 |