Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120bd |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-1226119680 = -1 · 29 · 38 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,-1186] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
2863288/3285 |
j-invariant |
L |
7.0701034398309 |
L(r)(E,1)/r! |
Ω |
0.82664553627134 |
Real period |
R |
2.1381907706541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105120p1 35040b1 |
Quadratic twists by: -4 -3 |