Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085m |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
34087611846249225 = 34 · 52 · 1111 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23954796,45125040951] |
[a1,a2,a3,a4,a6] |
Generators |
[2973:12195:1] |
Generators of the group modulo torsion |
j |
858114089022392566489/19241568225 |
j-invariant |
L |
5.7300303788951 |
L(r)(E,1)/r! |
Ω |
0.26632289554576 |
Real period |
R |
5.3788375376556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735e1 |
Quadratic twists by: -11 |