Atkin-Lehner |
2- 3- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36378h |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-10678186077585408 = -1 · 228 · 39 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38921,5793545] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:3004:1] |
Generators of the group modulo torsion |
j |
-8944121560009033/14647717527552 |
j-invariant |
L |
5.8452123332066 |
L(r)(E,1)/r! |
Ω |
0.36325432927851 |
Real period |
R |
2.2987484690791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12126c1 |
Quadratic twists by: -3 |