Atkin-Lehner |
2+ 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210d |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
293538114843750 = 2 · 312 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17033,222423] |
[a1,a2,a3,a4,a6] |
Generators |
[5982:158259:8] |
Generators of the group modulo torsion |
j |
546558924658197529/293538114843750 |
j-invariant |
L |
2.3197114271336 |
L(r)(E,1)/r! |
Ω |
0.47809533875157 |
Real period |
R |
4.8519850312512 |
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 |
63630br4 106050bz4 |
Quadratic twists by: -3 5 |