Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192i |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
482588928 = 28 · 34 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628372,-191932228] |
[a1,a2,a3,a4,a6] |
Generators |
[816370:-65468832:125] |
Generators of the group modulo torsion |
j |
107185222150206345808/1885113 |
j-invariant |
L |
7.1584081542054 |
L(r)(E,1)/r! |
Ω |
0.16956854390826 |
Real period |
R |
10.553856259564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15096f1 120768ct1 90576d1 |
Quadratic twists by: -4 8 -3 |