Atkin-Lehner |
2+ 3+ 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294c |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6090336 = -1 · 25 · 33 · 7 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 -6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18,-108] |
[a1,a2,a3,a4,a6] |
j |
590589719/6090336 |
j-invariant |
L |
1.177982660248 |
L(r)(E,1)/r! |
Ω |
1.1779826603668 |
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 |
126882bk1 |
Quadratic twists by: -3 |