Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cd |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
70917120 |
Modular degree for the optimal curve |
Δ |
-1.1206248158352E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-768001043,8349034809907] |
[a1,a2,a3,a4,a6] |
j |
-991990479802737267/22190066240000 |
j-invariant |
L |
3.5196805962865 |
L(r)(E,1)/r! |
Ω |
0.048884450310052 |
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 |
123210n1 3330d1 |
Quadratic twists by: -3 37 |