Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855k |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-43621752155416875 = -1 · 36 · 54 · 117 · 173 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-226431,-42747325] |
[a1,a2,a3,a4,a6] |
Generators |
[579:4537:1] |
Generators of the group modulo torsion |
j |
-724731558068224/24623341875 |
j-invariant |
L |
4.7944783143532 |
L(r)(E,1)/r! |
Ω |
0.10921154353992 |
Real period |
R |
1.829201596182 |
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 |
92565bu1 2805c1 |
Quadratic twists by: -3 -11 |