Atkin-Lehner |
3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38295a |
Isogeny class |
Conductor |
38295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
106268625 = 33 · 53 · 23 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143,-394] |
[a1,a2,a3,a4,a6] |
j |
11899199187/3935875 |
j-invariant |
L |
1.4179622749581 |
L(r)(E,1)/r! |
Ω |
1.4179622749505 |
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 |
38295c1 |
Quadratic twists by: -3 |