Atkin-Lehner |
3+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10353d |
Isogeny class |
Conductor |
10353 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-247258079691 = -1 · 3 · 78 · 17 · 292 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- -3 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1512,33440] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-172:1] [23:101:1] |
Generators of the group modulo torsion |
j |
-382530691698688/247258079691 |
j-invariant |
L |
2.4577068755169 |
L(r)(E,1)/r! |
Ω |
0.91157593839971 |
Real period |
R |
0.16850672911511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059o1 72471s1 |
Quadratic twists by: -3 -7 |