Atkin-Lehner |
2- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
114700h |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
530208 |
Modular degree for the optimal curve |
Δ |
-1177155276449200 = -1 · 24 · 52 · 31 · 377 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66093,-6723178] |
[a1,a2,a3,a4,a6] |
Generators |
[111955:3191139:125] |
Generators of the group modulo torsion |
j |
-79824588303892480/2942888191123 |
j-invariant |
L |
10.975163700128 |
L(r)(E,1)/r! |
Ω |
0.14855632332688 |
Real period |
R |
3.5180383593393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700q1 |
Quadratic twists by: 5 |