Atkin-Lehner |
2- 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910by |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-174551209459200 = -1 · 29 · 37 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19895,-1261555] |
[a1,a2,a3,a4,a6] |
j |
-7402333827169/1483660800 |
j-invariant |
L |
3.5792529680769 |
L(r)(E,1)/r! |
Ω |
0.19884738915329 |
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 |
1590s1 |
Quadratic twists by: -7 |