Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190q |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-1.3782733409456E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3372386,-2451126417] |
[a1,a2,a3,a4,a6] |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
1.2231454535065 |
L(r)(E,1)/r! |
Ω |
0.055597520510608 |
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 |
2530k1 |
Quadratic twists by: -23 |