Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950ce |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-166980000 = -1 · 25 · 3 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,137,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
454786175/267168 |
j-invariant |
L |
7.9602194875213 |
L(r)(E,1)/r! |
Ω |
1.0652890468038 |
Real period |
R |
0.74723564570616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850cv1 37950bb1 |
Quadratic twists by: -3 5 |