Atkin-Lehner |
3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
65415k |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-5773092138566235 = -1 · 38 · 5 · 711 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 3 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25185,-3305688] |
[a1,a2,a3,a4,a6] |
j |
15016207463711/49070473515 |
j-invariant |
L |
0.8715259063173 |
L(r)(E,1)/r! |
Ω |
0.21788147533685 |
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 |
9345b1 |
Quadratic twists by: -7 |