Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554m |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.2712621852967E+27 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-353050983,1123414474365] |
[a1,a2,a3,a4,a6] |
Generators |
[193803637589651871770881521281019339:-17184792655606963756339573004004303777:8942134892909593036450183638803] |
Generators of the group modulo torsion |
j |
3038634068159257773396589/1418109234438492684288 |
j-invariant |
L |
4.6695470129632 |
L(r)(E,1)/r! |
Ω |
0.041224392446275 |
Real period |
R |
56.635728393182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518t4 112554bb4 |
Quadratic twists by: -3 13 |