Atkin-Lehner |
2- 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210z |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-917628750 = -1 · 2 · 36 · 54 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 0 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120,-1593] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/917628750 |
j-invariant |
L |
5.2192427356971 |
L(r)(E,1)/r! |
Ω |
0.65240534196199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630y1 |
Quadratic twists by: -3 |