Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330t |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37739520 |
Modular degree for the optimal curve |
Δ |
3.5769080469537E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2919931704,60663064260928] |
[a1,a2,a3,a4,a6] |
Generators |
[162938616101443:28538607635466781:2622362939] |
Generators of the group modulo torsion |
j |
3776715448109436347084050051969/4906595400485210947584000 |
j-invariant |
L |
5.1292729258742 |
L(r)(E,1)/r! |
Ω |
0.04430369890212 |
Real period |
R |
19.295879174063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110t1 |
Quadratic twists by: -3 |