Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935r |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-6.8401450522275E+20 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1839966,1583713361] |
[a1,a2,a3,a4,a6] |
Generators |
[19399943296:1847503002949:2097152] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
8.739142284973 |
L(r)(E,1)/r! |
Ω |
0.14681135087859 |
Real period |
R |
14.881584824119 |
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 |
88935bx1 735b1 |
Quadratic twists by: -7 -11 |