Atkin-Lehner |
2+ 13- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102544c |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
2469117291472 = 24 · 133 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -2 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3526,-27909] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1326:1] |
Generators of the group modulo torsion |
j |
303005598861312/154319830717 |
j-invariant |
L |
4.87161935356 |
L(r)(E,1)/r! |
Ω |
0.65405988750706 |
Real period |
R |
1.2413795309785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51272c1 |
Quadratic twists by: -4 |