Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91630u |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1196819747200000 = -1 · 210 · 55 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26206,316308] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-2136:1] |
Generators of the group modulo torsion |
j |
16917195186711/10172800000 |
j-invariant |
L |
4.7498406099459 |
L(r)(E,1)/r! |
Ω |
0.29816798524731 |
Real period |
R |
0.79650412533553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1870a1 |
Quadratic twists by: -7 |