Atkin-Lehner |
3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635c |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-64636272421875 = -1 · 37 · 57 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11+ -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49406,4261031] |
[a1,a2,a3,a4,a6] |
j |
-13337412539135832064/64636272421875 |
j-invariant |
L |
1.8710389314455 |
L(r)(E,1)/r! |
Ω |
0.62367964381518 |
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 |
58905bl1 98175bh1 |
Quadratic twists by: -3 5 |