Atkin-Lehner |
2+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770p |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-1.0310000554947E+23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 1 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8674951,-11916095507] |
[a1,a2,a3,a4,a6] |
j |
1473427241570607114943431/2104081745907495731200 |
j-invariant |
L |
0.90141494348564 |
L(r)(E,1)/r! |
Ω |
0.056338433968067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35770a1 |
Quadratic twists by: -7 |