Atkin-Lehner |
3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2301b |
Isogeny class |
Conductor |
2301 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
1677429 = 37 · 13 · 59 |
Discriminant |
Eigenvalues |
0 3- 1 2 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
18736316416/1677429 |
j-invariant |
L |
3.3292287052501 |
L(r)(E,1)/r! |
Ω |
2.5917988205358 |
Real period |
R |
0.183503479121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36816k1 6903e1 57525c1 112749i1 |
Quadratic twists by: -4 -3 5 -7 |