Atkin-Lehner |
3- 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745z |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-535745732515875 = -1 · 37 · 53 · 75 · 17 · 193 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12777,964953] |
[a1,a2,a3,a4,a6] |
Generators |
[82:8375:8] |
Generators of the group modulo torsion |
j |
316433801129984/734904982875 |
j-invariant |
L |
11.87786019728 |
L(r)(E,1)/r! |
Ω |
0.36215189416933 |
Real period |
R |
1.0932668865712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33915r1 |
Quadratic twists by: -3 |