Atkin-Lehner |
3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103935p |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
4053465 = 32 · 5 · 133 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:107:8] [-3:13:1] |
Generators of the group modulo torsion |
j |
3869893/1845 |
j-invariant |
L |
16.111732155683 |
L(r)(E,1)/r! |
Ω |
2.2030383670096 |
Real period |
R |
7.313414235927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103935i1 |
Quadratic twists by: 13 |