Atkin-Lehner |
2+ 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394f |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1053595115961974784 = -1 · 232 · 39 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11- 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,247062,-14369932] |
[a1,a2,a3,a4,a6] |
Generators |
[728732:9367730:12167] |
Generators of the group modulo torsion |
j |
84732357357390861/53528177410048 |
j-invariant |
L |
5.2236553541836 |
L(r)(E,1)/r! |
Ω |
0.15887694846733 |
Real period |
R |
4.1098279238867 |
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 |
20394q1 |
Quadratic twists by: -3 |