Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800b |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-823191055027200 = -1 · 210 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17792,1029052] |
[a1,a2,a3,a4,a6] |
Generators |
[-955:118098:125] |
Generators of the group modulo torsion |
j |
24329525937500/32155900587 |
j-invariant |
L |
4.6010388480981 |
L(r)(E,1)/r! |
Ω |
0.33799600902889 |
Real period |
R |
3.4031754260517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600y1 49800bh1 |
Quadratic twists by: -4 5 |