Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467c |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1002320 |
Modular degree for the optimal curve |
Δ |
-4.8195559487005E+21 |
Discriminant |
Eigenvalues |
1 3+ 3 1 6 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2437434,-3000825063] |
[a1,a2,a3,a4,a6] |
Generators |
[217429345054702289921213072:14893515784497298301781844605:49889553107814536105809] |
Generators of the group modulo torsion |
j |
58863869/177147 |
j-invariant |
L |
6.0954503287831 |
L(r)(E,1)/r! |
Ω |
0.070167546876061 |
Real period |
R |
43.434968159495 |
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 |
40401k1 13467h1 |
Quadratic twists by: -3 -67 |