Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150s |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-10458758880000 = -1 · 28 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70501,7200848] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-298:1] |
Generators of the group modulo torsion |
j |
-62004137551272025/16734014208 |
j-invariant |
L |
3.3412676633077 |
L(r)(E,1)/r! |
Ω |
0.70529925266798 |
Real period |
R |
0.18220676437198 |
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 |
49200ch1 18450cc1 6150v1 |
Quadratic twists by: -4 -3 5 |