Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dc |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-2859601062260250000 = -1 · 24 · 32 · 56 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2569801,-1587913252] |
[a1,a2,a3,a4,a6] |
Generators |
[7063155:1674759506:125] |
Generators of the group modulo torsion |
j |
-4631003113/7056 |
j-invariant |
L |
5.966793541941 |
L(r)(E,1)/r! |
Ω |
0.059614930425394 |
Real period |
R |
12.511114059068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082x1 127050ig1 |
Quadratic twists by: 5 -11 |