Atkin-Lehner |
2+ 3+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550c |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
278732913750000000 = 27 · 33 · 510 · 173 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -1 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-405325,95852125] |
[a1,a2,a3,a4,a6] |
j |
754111418992225/28542250368 |
j-invariant |
L |
2.4516912905746 |
L(r)(E,1)/r! |
Ω |
0.30646143865386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550cr1 |
Quadratic twists by: 5 |