Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658j |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-315736728502272 = -1 · 215 · 3 · 72 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16845,158061] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:353:8] |
Generators of the group modulo torsion |
j |
10786992911888375/6443606704128 |
j-invariant |
L |
4.1612848099133 |
L(r)(E,1)/r! |
Ω |
0.33239743980008 |
Real period |
R |
6.2595019340621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999406469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658z2 |
Quadratic twists by: -7 |