Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410bp |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
275766854255200 = 25 · 52 · 72 · 117 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18271,507429] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:282:1] [-818:9595:8] |
Generators of the group modulo torsion |
j |
13766263259104321/5627894984800 |
j-invariant |
L |
13.036640126719 |
L(r)(E,1)/r! |
Ω |
0.49836124210151 |
Real period |
R |
0.18685012032586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410cc1 |
Quadratic twists by: -7 |