Atkin-Lehner |
2- 3+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954v |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
4963522466826 = 2 · 37 · 73 · 11 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6061,-149143] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:1653:8] |
Generators of the group modulo torsion |
j |
24624138347435089/4963522466826 |
j-invariant |
L |
7.022026889056 |
L(r)(E,1)/r! |
Ω |
0.54872352830652 |
Real period |
R |
4.2656738939355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92862x1 |
Quadratic twists by: -3 |