Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
138018816 |
Modular degree for the optimal curve |
Δ |
-3.0730242523798E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-976279028,-29140823257513] |
[a1,a2,a3,a4,a6] |
Generators |
[385636368551149023:96588346802144832407:4832809294643] |
Generators of the group modulo torsion |
j |
-141162084764748587904214427641/421539677967044903067648000 |
j-invariant |
L |
10.521676630394 |
L(r)(E,1)/r! |
Ω |
0.012485543302707 |
Real period |
R |
26.334648457124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bp1 |
Quadratic twists by: -3 |