Atkin-Lehner |
2- 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954ba |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-680988 = -1 · 22 · 3 · 7 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22,0] |
[a1,a2,a3,a4,a6] |
Generators |
[648:2493:512] |
Generators of the group modulo torsion |
j |
1174241375/680988 |
j-invariant |
L |
9.9415563197849 |
L(r)(E,1)/r! |
Ω |
1.7019124435479 |
Real period |
R |
5.8414029214453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862l1 |
Quadratic twists by: -3 |