Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304s |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-10247879204864 = -1 · 213 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12691,-571438] |
[a1,a2,a3,a4,a6] |
Generators |
[3531:2008:27] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
10.619051405694 |
L(r)(E,1)/r! |
Ω |
0.2243090574889 |
Real period |
R |
5.9176452372075 |
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 |
3038e1 97216by1 24304x1 |
Quadratic twists by: -4 8 -7 |