Atkin-Lehner |
3+ 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
86925d |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-3096703125 = -1 · 32 · 56 · 192 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 3 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,225,-2250] |
[a1,a2,a3,a4,a6] |
j |
80062991/198189 |
j-invariant |
L |
2.9356340428169 |
L(r)(E,1)/r! |
Ω |
0.73390851689103 |
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 |
3477b1 |
Quadratic twists by: 5 |