Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240r |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-22353310000 = -1 · 24 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98,-7203] |
[a1,a2,a3,a4,a6] |
j |
-55296/11875 |
j-invariant |
L |
2.1514293412105 |
L(r)(E,1)/r! |
Ω |
0.53785733530362 |
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 |
74480b1 760e1 |
Quadratic twists by: -4 -7 |