Atkin-Lehner |
2+ 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450f |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11232000 |
Modular degree for the optimal curve |
Δ |
-1.3771658756096E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -2 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-814133200,-8941448416000] |
[a1,a2,a3,a4,a6] |
Generators |
[17913936322600535:-1979479229755630455:460278466361] |
Generators of the group modulo torsion |
j |
-30554843967088289562388949/7051089283121152 |
j-invariant |
L |
3.2519408845414 |
L(r)(E,1)/r! |
Ω |
0.014131741562363 |
Real period |
R |
23.011607381798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31450v1 |
Quadratic twists by: 5 |