Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450a |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-411873418012500000 = -1 · 25 · 314 · 58 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12125,30878125] |
[a1,a2,a3,a4,a6] |
Generators |
[14835:378020:27] |
Generators of the group modulo torsion |
j |
12615165746639/26359898752800 |
j-invariant |
L |
3.4098300733736 |
L(r)(E,1)/r! |
Ω |
0.23449552576808 |
Real period |
R |
7.2705653171949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600dc2 37350br2 2490k2 |
Quadratic twists by: -4 -3 5 |