Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600o |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-327651091200 = -1 · 28 · 311 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,-27340] |
[a1,a2,a3,a4,a6] |
Generators |
[26:34:1] [34:162:1] |
Generators of the group modulo torsion |
j |
1756160/70227 |
j-invariant |
L |
8.053533584854 |
L(r)(E,1)/r! |
Ω |
0.4629176728293 |
Real period |
R |
0.5436667020909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200be1 10200ba1 30600ct1 |
Quadratic twists by: -4 -3 5 |