Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728v |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-361746137088 = -1 · 222 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3073,-70655] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1932:1] |
Generators of the group modulo torsion |
j |
-12246522625/1379952 |
j-invariant |
L |
5.1378141165991 |
L(r)(E,1)/r! |
Ω |
0.31858140202576 |
Real period |
R |
4.0317906851328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ee1 1554l1 |
Quadratic twists by: -4 8 |