Atkin-Lehner |
2- 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25752a |
Isogeny class |
Conductor |
25752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
55200 |
Modular degree for the optimal curve |
Δ |
-1544428610304 = -1 · 28 · 3 · 29 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 0 6 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,-59763] |
[a1,a2,a3,a4,a6] |
j |
-307981312/6032924259 |
j-invariant |
L |
3.8605509845326 |
L(r)(E,1)/r! |
Ω |
0.38605509845322 |
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 |
51504a1 77256e1 |
Quadratic twists by: -4 -3 |