Atkin-Lehner |
3+ 5- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40515f |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
375552 |
Modular degree for the optimal curve |
Δ |
224575017851239425 = 32 · 52 · 376 · 733 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151960,-151960] |
[a1,a2,a3,a4,a6] |
Generators |
[-2746:28749:8] |
Generators of the group modulo torsion |
j |
388071496519516333441/224575017851239425 |
j-invariant |
L |
3.257106906102 |
L(r)(E,1)/r! |
Ω |
0.26547128747667 |
Real period |
R |
2.0448582450374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121545h1 |
Quadratic twists by: -3 |