Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688co |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-7251083193678299136 = -1 · 226 · 38 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7005840,-7140885228] |
[a1,a2,a3,a4,a6] |
Generators |
[5826:387072:1] |
Generators of the group modulo torsion |
j |
-3866805342966045361/737311113216 |
j-invariant |
L |
7.7217885642442 |
L(r)(E,1)/r! |
Ω |
0.046398029019331 |
Real period |
R |
1.7335929832417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5586t1 44688ck1 |
Quadratic twists by: -4 -7 |