Atkin-Lehner |
2+ 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38184d |
Isogeny class |
Conductor |
38184 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
5241600 |
Modular degree for the optimal curve |
Δ |
-1.9633516382943E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -1 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66635784,-219975773328] |
[a1,a2,a3,a4,a6] |
Generators |
[1949892:326535249:64] |
Generators of the group modulo torsion |
j |
-15977775018569465938151954/958667792135872580991 |
j-invariant |
L |
4.2860339982465 |
L(r)(E,1)/r! |
Ω |
0.026329064127146 |
Real period |
R |
2.3255310869436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76368b1 114552h1 |
Quadratic twists by: -4 -3 |