Atkin-Lehner |
3+ 5- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225j |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141696 |
Modular degree for the optimal curve |
Δ |
-9110640375 = -1 · 33 · 53 · 312 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2735,-56400] |
[a1,a2,a3,a4,a6] |
Generators |
[48547396:370492454:493039] |
Generators of the group modulo torsion |
j |
-18110639217581/72885123 |
j-invariant |
L |
7.8422834232371 |
L(r)(E,1)/r! |
Ω |
0.32999316987296 |
Real period |
R |
11.88249353704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123225r1 |
Quadratic twists by: 5 |