Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464t |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-4911899263488 = -1 · 29 · 39 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -7 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,-110322] |
[a1,a2,a3,a4,a6] |
Generators |
[61:98:1] [117:1134:1] |
Generators of the group modulo torsion |
j |
-59319000/487403 |
j-invariant |
L |
10.096804097076 |
L(r)(E,1)/r! |
Ω |
0.32446684527121 |
Real period |
R |
1.5559069045459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58464c1 116928k1 58464d1 |
Quadratic twists by: -4 8 -3 |