Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cb |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
319334400 |
Modular degree for the optimal curve |
Δ |
-8.6597953045692E+31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5873370325,480075264422125] |
[a1,a2,a3,a4,a6] |
Generators |
[-221696622011025722:664524274285224232093:29010851850583] |
Generators of the group modulo torsion |
j |
-9950422267560965325625/38455925850167574528 |
j-invariant |
L |
3.8478288553295 |
L(r)(E,1)/r! |
Ω |
0.016721875212147 |
Real period |
R |
19.175624775495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550it1 95550fc1 |
Quadratic twists by: 5 -7 |