Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38955b |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
5258925 = 34 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 3 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71,-232] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] [-4:4:1] |
Generators of the group modulo torsion |
j |
808509121/107325 |
j-invariant |
L |
4.8488418733158 |
L(r)(E,1)/r! |
Ω |
1.6589988504502 |
Real period |
R |
0.73068794954237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865bg1 38955n1 |
Quadratic twists by: -3 -7 |