Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965c |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4225919800055625 = 32 · 54 · 78 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124461,16556658] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4193:1] |
Generators of the group modulo torsion |
j |
1812322775712961/35919725625 |
j-invariant |
L |
1.949098794631 |
L(r)(E,1)/r! |
Ω |
0.43799249147024 |
Real period |
R |
1.1125183836419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41895bt3 69825bw3 1995h3 |
Quadratic twists by: -3 5 -7 |