Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
4945920 |
Modular degree for the optimal curve |
Δ |
-9.2787517051891E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7048805,8567611197] |
[a1,a2,a3,a4,a6] |
Generators |
[12724:1406675:1] |
Generators of the group modulo torsion |
j |
-2364015519613191629824/566330060131171875 |
j-invariant |
L |
6.2296032686252 |
L(r)(E,1)/r! |
Ω |
0.12367101467998 |
Real period |
R |
7.1960541957786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920ia1 9240ba1 |
Quadratic twists by: -4 8 |