Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723bb |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
135890329329909 = 37 · 77 · 11 · 193 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21282,1048142] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:661:1] [-117:1396:1] |
Generators of the group modulo torsion |
j |
9061356040192/1155048741 |
j-invariant |
L |
4.473112922536 |
L(r)(E,1)/r! |
Ω |
0.56230553914404 |
Real period |
R |
0.094701795747899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169bn1 4389a1 |
Quadratic twists by: -3 -7 |