Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770p |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-913074731089920 = -1 · 224 · 39 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1710,1453140] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1209:1] |
Generators of the group modulo torsion |
j |
758301032159/1252503060480 |
j-invariant |
L |
4.0514444542702 |
L(r)(E,1)/r! |
Ω |
0.38982518649898 |
Real period |
R |
5.1964888296325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bb1 |
Quadratic twists by: -3 |