Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640c |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23809779840000 = 210 · 3 · 54 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55216,-4970084] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:74:1] [345:4114:1] |
Generators of the group modulo torsion |
j |
10262905636/13125 |
j-invariant |
L |
9.1913679568671 |
L(r)(E,1)/r! |
Ω |
0.31146985115323 |
Real period |
R |
14.754827670081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840e4 |
Quadratic twists by: -11 |