Atkin-Lehner |
3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19425l |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-303515625 = -1 · 3 · 58 · 7 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -5 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-844] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
-625/777 |
j-invariant |
L |
1.639407628923 |
L(r)(E,1)/r! |
Ω |
0.77905636571472 |
Real period |
R |
0.70145015648469 |
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 |
58275bd1 19425t1 |
Quadratic twists by: -3 5 |