Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bc |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
3485531250000 = 24 · 38 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5250,115625] |
[a1,a2,a3,a4,a6] |
Generators |
[16:189:1] |
Generators of the group modulo torsion |
j |
702464/153 |
j-invariant |
L |
6.4963396054188 |
L(r)(E,1)/r! |
Ω |
0.74703744218385 |
Real period |
R |
2.1740341375754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200ck1 10200bf1 30600cw1 |
Quadratic twists by: -4 -3 5 |