Atkin-Lehner |
2- 3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830br |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-61120047501803520 = -1 · 234 · 33 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122837,-20367059] |
[a1,a2,a3,a4,a6] |
Generators |
[799:19376:1] |
Generators of the group modulo torsion |
j |
-7591790890171215603/2263705463029760 |
j-invariant |
L |
10.740252952644 |
L(r)(E,1)/r! |
Ω |
0.12558011116775 |
Real period |
R |
2.5154444324076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830a1 |
Quadratic twists by: -3 |