Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032s |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
278592832 = 26 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3 -4 7- 3 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2842,58310] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:7813:27] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
10.215608638319 |
L(r)(E,1)/r! |
Ω |
1.6676922292055 |
Real period |
R |
6.1255958229525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032u1 58016u1 2368i1 |
Quadratic twists by: -4 8 -7 |