Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475j |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
57480192 |
Modular degree for the optimal curve |
Δ |
-1.0842878186788E+26 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -6 -4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-82593675,-578328400969] |
[a1,a2,a3,a4,a6] |
Generators |
[5926920:66362369:512] |
Generators of the group modulo torsion |
j |
-202606215767493783552/352560180843579625 |
j-invariant |
L |
12.455636164481 |
L(r)(E,1)/r! |
Ω |
0.023648462580441 |
Real period |
R |
2.3513375734194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475h1 16695e1 |
Quadratic twists by: -3 5 |