Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050l |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
5707200 |
Modular degree for the optimal curve |
Δ |
-1.0953356432397E+26 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-801604826,-8750084046452] |
[a1,a2,a3,a4,a6] |
Generators |
[1704566:778632363:8] |
Generators of the group modulo torsion |
j |
-145829251322736028516131385/280405924669357555712 |
j-invariant |
L |
4.2835114994962 |
L(r)(E,1)/r! |
Ω |
0.014185003082373 |
Real period |
R |
5.0329110195013 |
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 |
120400cc1 15050r1 105350bh1 |
Quadratic twists by: -4 5 -7 |