Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330ej |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
7.6432600711847E+32 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61693105613,5746045156145781] |
[a1,a2,a3,a4,a6] |
Generators |
[15085005:-963218916:125] |
Generators of the group modulo torsion |
j |
302773487204995438715379645049/8911747415025000000000000 |
j-invariant |
L |
9.4642361545166 |
L(r)(E,1)/r! |
Ω |
0.015901448772922 |
Real period |
R |
12.399598889773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110p2 8190bm2 |
Quadratic twists by: -3 -7 |