Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344u |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-1409582685888 = -1 · 26 · 33 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39546,-3027466] |
[a1,a2,a3,a4,a6] |
Generators |
[49540:1327377:64] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
3.0514037193278 |
L(r)(E,1)/r! |
Ω |
0.16927333432047 |
Real period |
R |
9.0132439641836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344r1 48672bd1 97344l1 97344j1 |
Quadratic twists by: -4 8 -3 13 |