Atkin-Lehner |
2+ 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28536c |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-318610204272 = -1 · 24 · 35 · 29 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -5 3 5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2452,54877] |
[a1,a2,a3,a4,a6] |
Generators |
[38:123:1] |
Generators of the group modulo torsion |
j |
-101939437643008/19913137767 |
j-invariant |
L |
4.9882028289825 |
L(r)(E,1)/r! |
Ω |
0.92645895920284 |
Real period |
R |
0.67301994052635 |
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 |
57072k1 85608p1 |
Quadratic twists by: -4 -3 |