Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658k |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9821952 |
Modular degree for the optimal curve |
Δ |
-1.1829258653921E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -7 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,303677,-1653386531] |
[a1,a2,a3,a4,a6] |
Generators |
[114351846:392193115:103823] |
Generators of the group modulo torsion |
j |
10964195699639/4187715099216 |
j-invariant |
L |
2.1078524054093 |
L(r)(E,1)/r! |
Ω |
0.072189572885399 |
Real period |
R |
14.599424977057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999518358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658ba1 |
Quadratic twists by: -7 |