Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-3.4799537257069E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6502235,6308721805] |
[a1,a2,a3,a4,a6] |
Generators |
[-33663286898057258377699524:1672665686298280653884584141:46903546137900900869693] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
6.3255753855663 |
L(r)(E,1)/r! |
Ω |
0.07740878776595 |
Real period |
R |
40.858251163241 |
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 |
8085x1 18480cv1 |
Quadratic twists by: -4 -7 |