Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480m |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
166487452880 = 24 · 5 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3691,-82830] |
[a1,a2,a3,a4,a6] |
Generators |
[1332834606:-4212317438:17779581] |
Generators of the group modulo torsion |
j |
2955053056/88445 |
j-invariant |
L |
8.516484788501 |
L(r)(E,1)/r! |
Ω |
0.61361908456864 |
Real period |
R |
13.87910676464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240q1 10640g1 |
Quadratic twists by: -4 -7 |