Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194c |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-703234224 = -1 · 24 · 39 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1230,16964] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:166:1] [19:-23:1] |
Generators of the group modulo torsion |
j |
-10460353203/35728 |
j-invariant |
L |
6.4967302346594 |
L(r)(E,1)/r! |
Ω |
1.6149294712594 |
Real period |
R |
1.0057297161084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40194bf1 |
Quadratic twists by: -3 |