Atkin-Lehner |
2+ 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202p |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5485894128 = 24 · 36 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17637,905957] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:667:1] [41:480:1] |
Generators of the group modulo torsion |
j |
832308211724625/7525232 |
j-invariant |
L |
7.6692031298373 |
L(r)(E,1)/r! |
Ω |
1.221201855448 |
Real period |
R |
1.570011357179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6578c2 |
Quadratic twists by: -3 |