Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218b |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
936064487424 = 212 · 3 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2906,37140] |
[a1,a2,a3,a4,a6] |
Generators |
[4:158:1] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
1.5517518632863 |
L(r)(E,1)/r! |
Ω |
0.81162086356069 |
Real period |
R |
1.9119171684159 |
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 |
93654bq1 258d1 |
Quadratic twists by: -3 -11 |