Atkin-Lehner |
2+ 3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702g |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1866636340892316 = -1 · 22 · 34 · 73 · 173 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24014,1516480] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:559:1] [-13:1103:1] |
Generators of the group modulo torsion |
j |
1531401163847544023/1866636340892316 |
j-invariant |
L |
4.6896301375184 |
L(r)(E,1)/r! |
Ω |
0.31386816250528 |
Real period |
R |
0.41503892201157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106cc1 |
Quadratic twists by: -3 |