Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480l |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1152853175658240 = -1 · 28 · 316 · 5 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26124,-156996] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1008:1] |
Generators of the group modulo torsion |
j |
7701692016940976/4503332717415 |
j-invariant |
L |
8.9026072685455 |
L(r)(E,1)/r! |
Ω |
0.28755673792563 |
Real period |
R |
1.2899783598107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51240m1 |
Quadratic twists by: -4 |