Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ch |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-111112305920000000 = -1 · 214 · 57 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 11- 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111116,-7373360] |
[a1,a2,a3,a4,a6] |
Generators |
[3336:191932:1] [311:-7718:1] |
Generators of the group modulo torsion |
j |
1747829720511/1280000000 |
j-invariant |
L |
5.0620645186102 |
L(r)(E,1)/r! |
Ω |
0.18711526975865 |
Real period |
R |
0.96618527582067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290f2 490k2 |
Quadratic twists by: -7 -11 |