Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bw |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
770304 |
Modular degree for the optimal curve |
Δ |
-360406664562180096 = -1 · 215 · 317 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3508545,-2530858113] |
[a1,a2,a3,a4,a6] |
Generators |
[2391:52488:1] |
Generators of the group modulo torsion |
j |
-145765603223714807432/10998738542547 |
j-invariant |
L |
7.2767617486159 |
L(r)(E,1)/r! |
Ω |
0.055155118225607 |
Real period |
R |
1.9401862533919 |
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 |
30912br1 15456h1 92736el1 |
Quadratic twists by: -4 8 -3 |