Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650i |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-3487500000 = -1 · 25 · 32 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15825,-772875] |
[a1,a2,a3,a4,a6] |
Generators |
[399:7326:1] |
Generators of the group modulo torsion |
j |
-1122115892665/8928 |
j-invariant |
L |
2.3869880745212 |
L(r)(E,1)/r! |
Ω |
0.21282853162192 |
Real period |
R |
5.6077727368846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200dn1 13950cz1 4650bk1 |
Quadratic twists by: -4 -3 5 |