Atkin-Lehner |
2- 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210bm |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-1274919616512000 = -1 · 218 · 36 · 53 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27025,-162375] |
[a1,a2,a3,a4,a6] |
Generators |
[10:325:1] |
Generators of the group modulo torsion |
j |
2182829505868371599/1274919616512000 |
j-invariant |
L |
9.7367313551443 |
L(r)(E,1)/r! |
Ω |
0.28536571860398 |
Real period |
R |
1.8955658807809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90630x1 |
Quadratic twists by: -3 |