Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450i |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-2050309324800 = -1 · 215 · 34 · 52 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3855,113445] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:273:1] |
Generators of the group modulo torsion |
j |
-253532048805985/82012372992 |
j-invariant |
L |
5.0193032307236 |
L(r)(E,1)/r! |
Ω |
0.78156602414034 |
Real period |
R |
1.6055275808702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450cr1 |
Quadratic twists by: 5 |