Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374c |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-229400262 = -1 · 2 · 36 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,152,190] |
[a1,a2,a3,a4,a6] |
j |
384399163511/229400262 |
j-invariant |
L |
2.1581977233712 |
L(r)(E,1)/r! |
Ω |
1.0790988616856 |
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 |
82992ck2 31122bf2 72618z2 |
Quadratic twists by: -4 -3 -7 |