Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225t |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3271680 |
Modular degree for the optimal curve |
Δ |
-1.1350576460982E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 6 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,788890,-436097878] |
[a1,a2,a3,a4,a6] |
Generators |
[175623114:7775606438:103823] |
Generators of the group modulo torsion |
j |
2979243799349127935/6228025492994253 |
j-invariant |
L |
5.0850148289557 |
L(r)(E,1)/r! |
Ω |
0.097410775987388 |
Real period |
R |
13.050442274504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36075s1 108225bh1 |
Quadratic twists by: -3 5 |