Atkin-Lehner |
2+ 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
37080g |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-3192344829360 = -1 · 24 · 318 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-642,-86191] |
[a1,a2,a3,a4,a6] |
j |
-2508888064/273692115 |
j-invariant |
L |
0.70642936568105 |
L(r)(E,1)/r! |
Ω |
0.35321468285083 |
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 |
74160o1 12360e1 |
Quadratic twists by: -4 -3 |