Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382t |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5852075851776 = -1 · 216 · 3 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3407,139010] |
[a1,a2,a3,a4,a6] |
Generators |
[368:6798:1] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
5.5015934105354 |
L(r)(E,1)/r! |
Ω |
0.68359972512746 |
Real period |
R |
4.0239874374324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518f1 |
Quadratic twists by: -7 |