Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270ba |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-222330240 = -1 · 27 · 32 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3413,76448] |
[a1,a2,a3,a4,a6] |
Generators |
[32:0:1] |
Generators of the group modulo torsion |
j |
-3301958349971/167040 |
j-invariant |
L |
7.3383660005393 |
L(r)(E,1)/r! |
Ω |
1.670121693018 |
Real period |
R |
1.0984777422608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270cd1 |
Quadratic twists by: -11 |