Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bd |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-307500000000 = -1 · 28 · 3 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,27963] |
[a1,a2,a3,a4,a6] |
Generators |
[-466650:2571927:15625] |
Generators of the group modulo torsion |
j |
-25600/123 |
j-invariant |
L |
8.8316602203605 |
L(r)(E,1)/r! |
Ω |
0.84113064735616 |
Real period |
R |
10.499748461342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600h1 49200q1 |
Quadratic twists by: -4 5 |