Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850l |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-2690123518422000000 = -1 · 27 · 314 · 56 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -1 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-193725,85384125] |
[a1,a2,a3,a4,a6] |
Generators |
[945:26865:1] |
Generators of the group modulo torsion |
j |
-51459338321140177/172167905179008 |
j-invariant |
L |
4.3600832697665 |
L(r)(E,1)/r! |
Ω |
0.22422865721327 |
Real period |
R |
1.6204007312429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997899091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674i1 |
Quadratic twists by: 5 |