Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bi |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-3120554784792602520 = -1 · 23 · 317 · 5 · 117 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1552388,749695871] |
[a1,a2,a3,a4,a6] |
Generators |
[111:24001:1] |
Generators of the group modulo torsion |
j |
-567540361467601918201/4280596412609880 |
j-invariant |
L |
6.4555253993835 |
L(r)(E,1)/r! |
Ω |
0.25390814671046 |
Real period |
R |
0.30267438774795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230t1 |
Quadratic twists by: -3 |