Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cu |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
97512059290078125 = 39 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11- 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-180075,25285531] |
[a1,a2,a3,a4,a6] |
Generators |
[-6620:418693:64] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
15.199004508853 |
L(r)(E,1)/r! |
Ω |
0.32315613837373 |
Real period |
R |
5.8791256899286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425g1 24255bb1 121275es1 |
Quadratic twists by: -3 5 -7 |