Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480q |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1755000000 = -1 · 26 · 33 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -5 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265,-2525] |
[a1,a2,a3,a4,a6] |
Generators |
[30:125:1] |
Generators of the group modulo torsion |
j |
-32278933504/27421875 |
j-invariant |
L |
3.7257503101267 |
L(r)(E,1)/r! |
Ω |
0.5710086939159 |
Real period |
R |
0.93212248775709 |
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 |
12480dd1 195c1 37440bp1 62400cf1 |
Quadratic twists by: -4 8 -3 5 |