Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992a |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-60815506534465536 = -1 · 215 · 33 · 74 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2388,11864848] |
[a1,a2,a3,a4,a6] |
Generators |
[74:3528:1] |
Generators of the group modulo torsion |
j |
1702209384/68738591551 |
j-invariant |
L |
8.2424155802374 |
L(r)(E,1)/r! |
Ω |
0.27722549950826 |
Real period |
R |
1.8582380562682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992u1 62496a1 124992c1 |
Quadratic twists by: -4 8 -3 |