Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20181l |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3480 |
Modular degree for the optimal curve |
Δ |
-19393941 = -1 · 3 · 7 · 314 |
Discriminant |
Eigenvalues |
-1 3- 1 7- -3 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,213] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-961/21 |
j-invariant |
L |
4.0982583281171 |
L(r)(E,1)/r! |
Ω |
1.8215055796715 |
Real period |
R |
2.2499290553127 |
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 |
60543k1 20181h1 |
Quadratic twists by: -3 -31 |