Atkin-Lehner |
3+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68265b |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1309728 |
Modular degree for the optimal curve |
Δ |
-383051548209811995 = -1 · 39 · 5 · 377 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 4 4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-326592,77765312] |
[a1,a2,a3,a4,a6] |
j |
-195726237040115712/19461034812265 |
j-invariant |
L |
4.1088627229842 |
L(r)(E,1)/r! |
Ω |
0.29349019369037 |
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 |
68265a1 |
Quadratic twists by: -3 |