Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fa |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-9.2970934415917E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7116180,-12720979280] |
[a1,a2,a3,a4,a6] |
Generators |
[36536:7001316:1] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
6.482046807821 |
L(r)(E,1)/r! |
Ω |
0.055417916522385 |
Real period |
R |
1.3291662205375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800lm1 12600ca1 33600cw1 100800gq1 |
Quadratic twists by: -4 8 -3 5 |