Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dt |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5247785410560000 = 216 · 32 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80376,8075376] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:3234:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
4.4634258014576 |
L(r)(E,1)/r! |
Ω |
0.41887364734951 |
Real period |
R |
1.3319726156687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549654 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170u2 2640w2 |
Quadratic twists by: -4 -7 |