Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30082c |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-31495860608052776 = -1 · 23 · 137 · 894 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 -2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,75370,-3072080] |
[a1,a2,a3,a4,a6] |
Generators |
[40:64:1] [1334:29411:8] |
Generators of the group modulo torsion |
j |
9809964306143/6525193064 |
j-invariant |
L |
5.9574951579688 |
L(r)(E,1)/r! |
Ω |
0.21078542420708 |
Real period |
R |
1.7664572812554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314c1 |
Quadratic twists by: 13 |