Atkin-Lehner |
2- 3+ 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702n |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
-1942947563338895904 = -1 · 25 · 35 · 72 · 179 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-758114,262454159] |
[a1,a2,a3,a4,a6] |
Generators |
[157:12059:1] |
Generators of the group modulo torsion |
j |
-48186712538369428566817/1942947563338895904 |
j-invariant |
L |
8.9353203917245 |
L(r)(E,1)/r! |
Ω |
0.26069754775739 |
Real period |
R |
0.3808295802545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106l1 |
Quadratic twists by: -3 |