Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360r |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-45941954206720 = -1 · 210 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,331772] |
[a1,a2,a3,a4,a6] |
Generators |
[365533224:3583616777:4741632] |
Generators of the group modulo torsion |
j |
-470596/9295 |
j-invariant |
L |
12.101103795702 |
L(r)(E,1)/r! |
Ω |
0.53704066114804 |
Real period |
R |
11.266468882575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5720a1 |
Quadratic twists by: 13 |