Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19435d |
Isogeny class |
Conductor |
19435 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
5.3323590084307E+21 |
Discriminant |
Eigenvalues |
1 3 5- -1 -2 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4639504,-1564547347] |
[a1,a2,a3,a4,a6] |
Generators |
[-37716:1282133:27] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
10.572289505479 |
L(r)(E,1)/r! |
Ω |
0.10795165319569 |
Real period |
R |
0.69953864878447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175d1 1495b1 |
Quadratic twists by: 5 13 |