Atkin-Lehner |
3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215c |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
42023205 = 39 · 5 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 5 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-243,1424] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
80621568/2135 |
j-invariant |
L |
2.4918953644132 |
L(r)(E,1)/r! |
Ω |
2.0276592472235 |
Real period |
R |
0.61447587108765 |
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 |
19215f1 96075c1 |
Quadratic twists by: -3 5 |