Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528y |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-35844044705759232 = -1 · 235 · 39 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -1 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81492,-1672400] |
[a1,a2,a3,a4,a6] |
Generators |
[196030:7888896:125] |
Generators of the group modulo torsion |
j |
313185171671/187564032 |
j-invariant |
L |
7.7581447963778 |
L(r)(E,1)/r! |
Ω |
0.21360790792441 |
Real period |
R |
4.5399447472253 |
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 |
30528by1 954j1 10176h1 |
Quadratic twists by: -4 8 -3 |