Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bv |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-4.4454062311353E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-805971,-424812782] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:18522:1] |
Generators of the group modulo torsion |
j |
-19390744433389393/14887575523296 |
j-invariant |
L |
9.0835678695026 |
L(r)(E,1)/r! |
Ω |
0.077109659380767 |
Real period |
R |
1.4725081044387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686g1 20496bc1 |
Quadratic twists by: -4 -3 |