Atkin-Lehner |
3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635v |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-728949375 = -1 · 34 · 54 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,225,0] |
[a1,a2,a3,a4,a6] |
Generators |
[60:450:1] |
Generators of the group modulo torsion |
j |
1259362112399/728949375 |
j-invariant |
L |
4.1806987192311 |
L(r)(E,1)/r! |
Ω |
0.95562539799791 |
Real period |
R |
2.1874150310309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905r1 98175i1 |
Quadratic twists by: -3 5 |