Atkin-Lehner |
2+ 3+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950m |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-1906383750000 = -1 · 24 · 3 · 57 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3100,0] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-372:1] |
Generators of the group modulo torsion |
j |
210751100351/122008560 |
j-invariant |
L |
4.0630224431843 |
L(r)(E,1)/r! |
Ω |
0.49568792505193 |
Real period |
R |
1.0245918376111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390o1 |
Quadratic twists by: 5 |