Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bs |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6895172592 = -1 · 24 · 32 · 76 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,-3776] |
[a1,a2,a3,a4,a6] |
Generators |
[1334:48063:1] |
Generators of the group modulo torsion |
j |
9938375/58608 |
j-invariant |
L |
6.2664196185881 |
L(r)(E,1)/r! |
Ω |
0.66554242623377 |
Real period |
R |
4.7077537075058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999511352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442a1 |
Quadratic twists by: -7 |