Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
-26340919912125000 = -1 · 23 · 39 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16512,-7764408] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1230:1] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
14.094319877862 |
L(r)(E,1)/r! |
Ω |
0.17987099537483 |
Real period |
R |
0.72553644073485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822f1 13650br1 |
Quadratic twists by: 5 -7 |