Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300d |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
510212500000000 = 28 · 511 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26133,-1200863] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:175:1] |
Generators of the group modulo torsion |
j |
205520896/53125 |
j-invariant |
L |
4.9127741938617 |
L(r)(E,1)/r! |
Ω |
0.38267284231102 |
Real period |
R |
2.1396754835972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660f1 83300l1 |
Quadratic twists by: 5 -7 |