Atkin-Lehner |
3- 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775m |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
512640 |
Modular degree for the optimal curve |
Δ |
-131196796875 = -1 · 33 · 57 · 37 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 0 -3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65908,-6534656] |
[a1,a2,a3,a4,a6] |
j |
-2026397656797184/8396595 |
j-invariant |
L |
1.7877854803035 |
L(r)(E,1)/r! |
Ω |
0.14898219503099 |
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 |
22755a1 |
Quadratic twists by: 5 |