Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bc |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-2.2697982035136E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44476125,-198765301250] |
[a1,a2,a3,a4,a6] |
Generators |
[255337827809722012306:62270745819773624295732:4344231454155809] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
4.4132493552484 |
L(r)(E,1)/r! |
Ω |
0.035049367878363 |
Real period |
R |
31.478808480686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25200ck1 100800gq1 4200bd1 12600ca1 |
Quadratic twists by: -4 8 -3 5 |