Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382w |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
180096 |
Modular degree for the optimal curve |
Δ |
-9433543415604 = -1 · 22 · 3 · 710 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2451,153957] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:56:1] |
Generators of the group modulo torsion |
j |
-5764801/33396 |
j-invariant |
L |
7.8965434715312 |
L(r)(E,1)/r! |
Ω |
0.62930118282815 |
Real period |
R |
3.1370286944075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74382bk1 |
Quadratic twists by: -7 |