Atkin-Lehner |
3- 5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395k |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
2464 |
Product of Tamagawa factors cp |
Δ |
8.0391337449768E+30 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15277264666,-713887134507229] |
[a1,a2,a3,a4,a6] |
j |
394330636330429944703530948705602209/8039133744976816276161503088225 |
j-invariant |
L |
2.0938573874288 |
L(r)(E,1)/r! |
Ω |
0.013596476541778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185z2 |
Quadratic twists by: -3 |