Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800r |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-4156425393750000 = -1 · 24 · 36 · 58 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22792,-2797287] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1083:1] |
Generators of the group modulo torsion |
j |
209494173440/665028063 |
j-invariant |
L |
6.7550735585486 |
L(r)(E,1)/r! |
Ω |
0.22417739970066 |
Real period |
R |
1.2555297657767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79800be1 |
Quadratic twists by: 5 |