Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4940b |
Isogeny class |
Conductor |
4940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-44091043750000 = -1 · 24 · 58 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-953,319673] |
[a1,a2,a3,a4,a6] |
Generators |
[49:625:1] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
3.386809403445 |
L(r)(E,1)/r! |
Ω |
0.51939478282291 |
Real period |
R |
1.0867807158932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19760l1 79040bb1 44460o1 24700k1 |
Quadratic twists by: -4 8 -3 5 |