Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608h |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
63285689843712 = 220 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43980,3529328] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:2485:1] [52:1176:1] |
Generators of the group modulo torsion |
j |
1329185824875/8941324 |
j-invariant |
L |
11.063681652028 |
L(r)(E,1)/r! |
Ω |
0.62486792007389 |
Real period |
R |
1.4754693614302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608db1 2394a1 76608g3 |
Quadratic twists by: -4 8 -3 |