Atkin-Lehner |
3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195l |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-111869278165575 = -1 · 34 · 52 · 79 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10240,320312] |
[a1,a2,a3,a4,a6] |
j |
2942649737/2772225 |
j-invariant |
L |
1.553665126945 |
L(r)(E,1)/r! |
Ω |
0.38841628173632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585r1 27195p1 |
Quadratic twists by: -3 -7 |