Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850o |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46379520 |
Modular degree for the optimal curve |
Δ |
-3.6614410810163E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 6 -7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47882826,157285119548] |
[a1,a2,a3,a4,a6] |
Generators |
[342612:14752543:64] |
Generators of the group modulo torsion |
j |
-10567560383566225/3186865733632 |
j-invariant |
L |
2.7385464527626 |
L(r)(E,1)/r! |
Ω |
0.074631070867778 |
Real period |
R |
9.1736143712961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999992540975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850df1 18550c1 |
Quadratic twists by: 5 -7 |