Atkin-Lehner |
2- 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31980g |
Isogeny class |
Conductor |
31980 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-460512000 = -1 · 28 · 33 · 53 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325,2375] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:66:1] |
Generators of the group modulo torsion |
j |
-14875426816/1798875 |
j-invariant |
L |
7.2309693509583 |
L(r)(E,1)/r! |
Ω |
1.6178488551187 |
Real period |
R |
1.4898320750794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127920bq1 95940e1 |
Quadratic twists by: -4 -3 |