Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632h |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-13571356158976 = -1 · 210 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35189,-2535211] |
[a1,a2,a3,a4,a6] |
Generators |
[58744181522357331:-1421655339605103820:90779163429807] |
Generators of the group modulo torsion |
j |
-4706053639241728/13253277499 |
j-invariant |
L |
8.1790674796206 |
L(r)(E,1)/r! |
Ω |
0.17425832916857 |
Real period |
R |
23.468225362515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632x1 5852a1 |
Quadratic twists by: -4 8 |