Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820n |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
10584000 |
Modular degree for the optimal curve |
Δ |
-6.8457091313958E+22 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495999380,-4251954469372] |
[a1,a2,a3,a4,a6] |
Generators |
[41051:6675850:1] |
Generators of the group modulo torsion |
j |
-186615085627376240464/946668828125 |
j-invariant |
L |
7.4406151449113 |
L(r)(E,1)/r! |
Ω |
0.015995548734736 |
Real period |
R |
5.5377125969317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57820b1 |
Quadratic twists by: -7 |