Atkin-Lehner |
2+ 3- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61272f |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-81661807936512 = -1 · 210 · 311 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,-436178] |
[a1,a2,a3,a4,a6] |
Generators |
[86:162:1] |
Generators of the group modulo torsion |
j |
-1219284868/109393497 |
j-invariant |
L |
5.3275469545053 |
L(r)(E,1)/r! |
Ω |
0.26895960363264 |
Real period |
R |
2.4759977344789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544m1 20424b1 |
Quadratic twists by: -4 -3 |