Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963s |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-11401754668079787 = -1 · 38 · 1110 · 67 |
Discriminant |
Eigenvalues |
-2 3- 4 -2 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43923,6240726] |
[a1,a2,a3,a4,a6] |
Generators |
[370:16601:8] |
Generators of the group modulo torsion |
j |
-495616/603 |
j-invariant |
L |
4.28140510504 |
L(r)(E,1)/r! |
Ω |
0.3647705448349 |
Real period |
R |
5.8686277803547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24321n1 72963p1 |
Quadratic twists by: -3 -11 |