Atkin-Lehner |
2- 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884c |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
519120 |
Modular degree for the optimal curve |
Δ |
-1268624439736836336 = -1 · 24 · 321 · 75 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51590,54395253] |
[a1,a2,a3,a4,a6] |
j |
-949092914702338816/79289027483552271 |
j-invariant |
L |
1.1210185569943 |
L(r)(E,1)/r! |
Ω |
0.22420371139517 |
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 |
113652w1 |
Quadratic twists by: -3 |