Atkin-Lehner |
2+ 3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090c |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-511713910080000 = -1 · 29 · 313 · 54 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4374,1093672] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-1041:1] |
Generators of the group modulo torsion |
j |
-9251609875472089/511713910080000 |
j-invariant |
L |
5.221988157794 |
L(r)(E,1)/r! |
Ω |
0.43226453882657 |
Real period |
R |
0.46463607429356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90270ba1 |
Quadratic twists by: -3 |