Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780n |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
495360 |
Modular degree for the optimal curve |
Δ |
-2451522802400000 = -1 · 28 · 55 · 77 · 612 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30968,1129156] |
[a1,a2,a3,a4,a6] |
Generators |
[952:29890:1] [112:-2450:1] |
Generators of the group modulo torsion |
j |
109052338176/81396875 |
j-invariant |
L |
6.6033711722686 |
L(r)(E,1)/r! |
Ω |
0.29270351521141 |
Real period |
R |
0.18799942686877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540e1 |
Quadratic twists by: -7 |