Atkin-Lehner |
2- 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710d |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-37924052320000 = -1 · 28 · 54 · 7 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8207,74657] |
[a1,a2,a3,a4,a6] |
Generators |
[383:7508:1] |
Generators of the group modulo torsion |
j |
61140167145864351/37924052320000 |
j-invariant |
L |
6.2867970643705 |
L(r)(E,1)/r! |
Ω |
0.4011501357408 |
Real period |
R |
1.9589913177895 |
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 |
88550n1 123970bo1 |
Quadratic twists by: 5 -7 |