Atkin-Lehner |
7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6293d |
Isogeny class |
Conductor |
6293 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
308357 = 73 · 29 · 31 |
Discriminant |
Eigenvalues |
-2 0 -4 7- -1 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
543338496/308357 |
j-invariant |
L |
2.3970265066439 |
L(r)(E,1)/r! |
Ω |
2.5384339950921 |
Real period |
R |
0.31476447175437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688m1 56637k1 44051h1 |
Quadratic twists by: -4 -3 -7 |