Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810cd |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-2698072971116544000 = -1 · 218 · 33 · 53 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23521,-79050721] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:38784:1] |
Generators of the group modulo torsion |
j |
-12232183057921/22933241856000 |
j-invariant |
L |
6.7155314883108 |
L(r)(E,1)/r! |
Ω |
0.11570258552436 |
Real period |
R |
3.2245181124788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430cr1 4830bk1 |
Quadratic twists by: -3 -7 |