Atkin-Lehner |
3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099d |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-92703828293811 = -1 · 39 · 78 · 19 · 43 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1386667,-628039770] |
[a1,a2,a3,a4,a6] |
Generators |
[60701192898098160:-18799671435298796094:632733601625] |
Generators of the group modulo torsion |
j |
-2506411220823212032/787969539 |
j-invariant |
L |
3.8465556225281 |
L(r)(E,1)/r! |
Ω |
0.06956270790045 |
Real period |
R |
27.648115913147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157k1 |
Quadratic twists by: -7 |