Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440l |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
293529600 |
Modular degree for the optimal curve |
Δ |
-1.4490880966187E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81379701840,-8935730440232688] |
[a1,a2,a3,a4,a6] |
Generators |
[1825092898448384:-20840150789955247900:13997521] |
Generators of the group modulo torsion |
j |
-58206574104159039843499662469343044/1415125094354152679443359375 |
j-invariant |
L |
6.8683016201245 |
L(r)(E,1)/r! |
Ω |
0.0044693040591117 |
Real period |
R |
25.612867856249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999470012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720n1 |
Quadratic twists by: -4 |