Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92510o |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
1302540800 = 29 · 52 · 112 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 11+ -2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-496,3840] |
[a1,a2,a3,a4,a6] |
Generators |
[28:96:1] [-16:96:1] |
Generators of the group modulo torsion |
j |
16048242169/1548800 |
j-invariant |
L |
9.542068020257 |
L(r)(E,1)/r! |
Ω |
1.4854587656208 |
Real period |
R |
0.17843473757306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92510e1 |
Quadratic twists by: 29 |