Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710k |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1593967476500000 = -1 · 25 · 56 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26582,963572] |
[a1,a2,a3,a4,a6] |
Generators |
[601:15012:1] |
Generators of the group modulo torsion |
j |
17655210697319/13548500000 |
j-invariant |
L |
2.6601266892789 |
L(r)(E,1)/r! |
Ω |
0.30447926523249 |
Real period |
R |
2.1841607894445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530h1 |
Quadratic twists by: -7 |