Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478n |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30320640 |
Modular degree for the optimal curve |
Δ |
-8.9335059988768E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -5 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-151273854,-717638791932] |
[a1,a2,a3,a4,a6] |
Generators |
[439144888:77537934314:12167] |
Generators of the group modulo torsion |
j |
-1355298417138703689337/3162580095248208 |
j-invariant |
L |
4.1970026747815 |
L(r)(E,1)/r! |
Ω |
0.021521268954297 |
Real period |
R |
16.25137526974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478be1 |
Quadratic twists by: -7 |