Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230ba |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
9744000 |
Modular degree for the optimal curve |
Δ |
9.6684389262396E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151226535,537164705097] |
[a1,a2,a3,a4,a6] |
Generators |
[-13386:410373:1] |
Generators of the group modulo torsion |
j |
764581408291686481/193273528320000 |
j-invariant |
L |
10.620850435614 |
L(r)(E,1)/r! |
Ω |
0.056213407377774 |
Real period |
R |
0.22492622589547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75690j1 126150i1 25230c1 |
Quadratic twists by: -3 5 29 |