Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ea |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8247228722675712 = 215 · 34 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51809,-1246785] |
[a1,a2,a3,a4,a6] |
j |
3989418056/2139291 |
j-invariant |
L |
2.6933870754634 |
L(r)(E,1)/r! |
Ω |
0.33667339204534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bc3 51744g3 14784t4 |
Quadratic twists by: -4 8 -7 |