Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950dj |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-3097992496896000 = -1 · 211 · 33 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36302,-286588] |
[a1,a2,a3,a4,a6] |
Generators |
[932:28574:1] |
Generators of the group modulo torsion |
j |
42325744769295499/24783939975168 |
j-invariant |
L |
10.166743943803 |
L(r)(E,1)/r! |
Ω |
0.26458414616127 |
Real period |
R |
0.083171798430002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850cm1 37950r1 |
Quadratic twists by: -3 5 |