Atkin-Lehner |
3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115b |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
2109184 |
Modular degree for the optimal curve |
Δ |
-2.9107571422808E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 5 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1304248422,-18129615518455] |
[a1,a2,a3,a4,a6] |
j |
-9087426427572880167901787947008/10780582008447265625 |
j-invariant |
L |
2.2107627929438 |
L(r)(E,1)/r! |
Ω |
0.012561152232635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11115a1 55575a1 |
Quadratic twists by: -3 5 |