Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690be |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-6716070043028156250 = -1 · 2 · 316 · 56 · 115 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1378778,635841987] |
[a1,a2,a3,a4,a6] |
j |
-397629799197490583641/9212716108406250 |
j-invariant |
L |
4.7341912372351 |
L(r)(E,1)/r! |
Ω |
0.2367095618618 |
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 |
10230h1 |
Quadratic twists by: -3 |