Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bc |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
1.1849387420418E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1618358,-594281019] |
[a1,a2,a3,a4,a6] |
Generators |
[-855:13227:1] |
Generators of the group modulo torsion |
j |
764581408291686481/193273528320000 |
j-invariant |
L |
9.7116045865402 |
L(r)(E,1)/r! |
Ω |
0.13634275731298 |
Real period |
R |
0.50878099829725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230c1 75690j1 |
Quadratic twists by: -3 29 |