Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200t |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
19377540000000 = 28 · 32 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40369908,-98713274688] |
[a1,a2,a3,a4,a6] |
Generators |
[8432:400400:1] |
Generators of the group modulo torsion |
j |
1819018058610682173904/4844385 |
j-invariant |
L |
6.3470470102711 |
L(r)(E,1)/r! |
Ω |
0.059894247633709 |
Real period |
R |
4.4154539502683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cd1 21840k1 |
Quadratic twists by: -4 5 |