Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360s |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-128681246720 = -1 · 225 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -1 5- -4 0 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520,-17680] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3370:1] |
Generators of the group modulo torsion |
j |
-3803721481/31416320 |
j-invariant |
L |
4.2224011762928 |
L(r)(E,1)/r! |
Ω |
0.43958834639299 |
Real period |
R |
4.8026764259639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670d1 |
Quadratic twists by: -4 |