Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800u |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
13641019700000000 = 28 · 58 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 7 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2506833,1528519037] |
[a1,a2,a3,a4,a6] |
Generators |
[2781607643248196:-2758861779429183:3100001684941] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
8.6435364835444 |
L(r)(E,1)/r! |
Ω |
0.35642999646649 |
Real period |
R |
24.250306004638 |
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 |
15400t1 123200hy1 30800d1 |
Quadratic twists by: -4 8 5 |