Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
108336f |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
4671744 |
Modular degree for the optimal curve |
Δ |
-2.626126672761E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 3 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,767495,-735218989] |
[a1,a2,a3,a4,a6] |
j |
195303418721493054464/1025830731547252611 |
j-invariant |
L |
6.7525483440291 |
L(r)(E,1)/r! |
Ω |
0.087695434999048 |
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 |
54168e1 |
Quadratic twists by: -4 |