Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312k |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
95548947825744 = 24 · 36 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11466,46305] |
[a1,a2,a3,a4,a6] |
Generators |
[672:17199:1] |
Generators of the group modulo torsion |
j |
121485312/69629 |
j-invariant |
L |
6.545567430671 |
L(r)(E,1)/r! |
Ω |
0.51369206036243 |
Real period |
R |
3.1855502276771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11368n1 14616d1 |
Quadratic twists by: -3 -7 |