Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630j |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
-164428071976960000 = -1 · 217 · 54 · 117 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 11- -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97408,-22757682] |
[a1,a2,a3,a4,a6] |
Generators |
[3182:8085:8] |
Generators of the group modulo torsion |
j |
-57695915808721/92815360000 |
j-invariant |
L |
4.2952281604922 |
L(r)(E,1)/r! |
Ω |
0.12796475856002 |
Real period |
R |
4.195713991796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998531292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330j1 |
Quadratic twists by: -11 |