Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050v |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2.6570328109063E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1580838,803566531] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:-17673:1] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
5.9306211808736 |
L(r)(E,1)/r! |
Ω |
0.2082244442873 |
Real period |
R |
0.25892607466178 |
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 |
120400bd1 3010a1 105350cf1 |
Quadratic twists by: -4 5 -7 |