Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296ci |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
6988800 |
Modular degree for the optimal curve |
Δ |
-6.3208614036021E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364600848,2679901730224] |
[a1,a2,a3,a4,a6] |
Generators |
[11297:52479:1] |
Generators of the group modulo torsion |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
5.5326012025915 |
L(r)(E,1)/r! |
Ω |
0.087722955338672 |
Real period |
R |
2.4257317041395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2331c1 12432bx1 |
Quadratic twists by: -4 -3 |