Atkin-Lehner |
3+ 5- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42315c |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-180014831476278435 = -1 · 38 · 5 · 7 · 138 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,131190,9121050] |
[a1,a2,a3,a4,a6] |
j |
249704116179130136159/180014831476278435 |
j-invariant |
L |
1.6291427977456 |
L(r)(E,1)/r! |
Ω |
0.20364284971005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945l5 |
Quadratic twists by: -3 |