Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610m |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4910734804610880 = -1 · 26 · 310 · 5 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11844,-3404912] |
[a1,a2,a3,a4,a6] |
Generators |
[224:2156:1] |
Generators of the group modulo torsion |
j |
-252064685855809/6736261734720 |
j-invariant |
L |
4.2544268529377 |
L(r)(E,1)/r! |
Ω |
0.18760868663133 |
Real period |
R |
0.94488047820203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870o2 |
Quadratic twists by: -3 |