Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276o |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-440029992745500912 = -1 · 24 · 313 · 297 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 -1 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380973,-95970715] |
[a1,a2,a3,a4,a6] |
Generators |
[745:5805:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
6.2554265668084 |
L(r)(E,1)/r! |
Ω |
0.095686564097044 |
Real period |
R |
5.4478447643428 |
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 |
121104cj1 10092c1 1044k1 |
Quadratic twists by: -4 -3 29 |