Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280x |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5268480 |
Modular degree for the optimal curve |
Δ |
-3.2160989122671E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3697197,86239122802] |
[a1,a2,a3,a4,a6] |
j |
649381163998/373669453125 |
j-invariant |
L |
0.74463713598537 |
L(r)(E,1)/r! |
Ω |
0.062053094664228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640l1 11760bb1 35280cg1 |
Quadratic twists by: -4 -3 -7 |