Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bu |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-37654757763840 = -1 · 28 · 36 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53508,-4773188] |
[a1,a2,a3,a4,a6] |
Generators |
[58184217:6330688231:4913] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
3.8097248047924 |
L(r)(E,1)/r! |
Ω |
0.15693038773706 |
Real period |
R |
12.138263531136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640w1 3920k1 35280ct1 |
Quadratic twists by: -4 -3 -7 |