Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800t |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-103622793750000 = -1 · 24 · 38 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84208,-9446287] |
[a1,a2,a3,a4,a6] |
Generators |
[608:-12825:1] |
Generators of the group modulo torsion |
j |
-10565958734080/16579647 |
j-invariant |
L |
8.4667183198184 |
L(r)(E,1)/r! |
Ω |
0.14011671377462 |
Real period |
R |
0.62943941587727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79800ba1 |
Quadratic twists by: 5 |