Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85652g |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-15629434352 = -1 · 24 · 76 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 4 7- -6 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4426,-114983] |
[a1,a2,a3,a4,a6] |
j |
-5095042816/8303 |
j-invariant |
L |
3.5115379586032 |
L(r)(E,1)/r! |
Ω |
0.29262815527151 |
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 |
1748a1 |
Quadratic twists by: -7 |