Atkin-Lehner |
2- 3+ 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
125904g |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-715927872042123264 = -1 · 214 · 318 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 3 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-947336,-356910096] |
[a1,a2,a3,a4,a6] |
Generators |
[418067270:9558812754:300763] |
Generators of the group modulo torsion |
j |
-22954949766718606729/174787078135284 |
j-invariant |
L |
6.3320939988307 |
L(r)(E,1)/r! |
Ω |
0.076479677449055 |
Real period |
R |
10.349308192753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738e1 |
Quadratic twists by: -4 |