Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640t |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-380171714560000 = -1 · 229 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12880,-1089600] |
[a1,a2,a3,a4,a6] |
Generators |
[49350:41910:343] |
Generators of the group modulo torsion |
j |
-57695915808721/92815360000 |
j-invariant |
L |
12.544547277443 |
L(r)(E,1)/r! |
Ω |
0.212205545266 |
Real period |
R |
7.3893846988017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330j1 |
Quadratic twists by: -4 |