Atkin-Lehner |
2- 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210bl |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-132441837062307840 = -1 · 214 · 313 · 5 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,123110,5501540] |
[a1,a2,a3,a4,a6] |
Generators |
[32:3062:1] |
Generators of the group modulo torsion |
j |
206349530736106124639/132441837062307840 |
j-invariant |
L |
9.7703318724047 |
L(r)(E,1)/r! |
Ω |
0.20485122719041 |
Real period |
R |
0.26205916797448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630v1 |
Quadratic twists by: -3 |