Atkin-Lehner |
3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203c |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
3664293 = 3 · 313 · 41 |
Discriminant |
Eigenvalues |
0 3+ 4 4 -2 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
262144/123 |
j-invariant |
L |
7.6190658214078 |
L(r)(E,1)/r! |
Ω |
1.9706772923748 |
Real period |
R |
1.9331084443169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118203i1 |
Quadratic twists by: -31 |