Atkin-Lehner |
2- 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410u |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2686464 |
Modular degree for the optimal curve |
Δ |
-5.3132966803125E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4599803,-3812153813] |
[a1,a2,a3,a4,a6] |
j |
-546827097630239553483/2699434375000000 |
j-invariant |
L |
2.4734193870083 |
L(r)(E,1)/r! |
Ω |
0.051529570626211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410b1 |
Quadratic twists by: -3 |