Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600m |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
151388160 |
Modular degree for the optimal curve |
Δ |
-1.0586287198474E+32 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -5 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9988741967,-312100414164563] |
[a1,a2,a3,a4,a6] |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
2.0143190541219 |
L(r)(E,1)/r! |
Ω |
0.010277138030518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800l1 10320i1 |
Quadratic twists by: -4 5 |