Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650ca |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-3433920000000000 = -1 · 215 · 3 · 510 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38763,-4087719] |
[a1,a2,a3,a4,a6] |
j |
-659593720825/351633408 |
j-invariant |
L |
4.9793804812477 |
L(r)(E,1)/r! |
Ω |
0.16597934949118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650bl1 |
Quadratic twists by: 5 |