Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bt |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
96768000 |
Modular degree for the optimal curve |
Δ |
4.5426894631071E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1025764373,-7398506224403] |
[a1,a2,a3,a4,a6] |
Generators |
[6673989:3286019920:27] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
10.449680820178 |
L(r)(E,1)/r! |
Ω |
0.02754525377009 |
Real period |
R |
6.3227352504343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490f1 2790n1 |
Quadratic twists by: -3 -31 |