Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bf |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216000 |
Modular degree for the optimal curve |
Δ |
-8.9609686686859E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10326520,6652541522] |
[a1,a2,a3,a4,a6] |
Generators |
[31943284:5850847438:50653] |
Generators of the group modulo torsion |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
3.7063183921129 |
L(r)(E,1)/r! |
Ω |
0.068446708674603 |
Real period |
R |
13.537240997601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275r1 24255w1 17325b1 |
Quadratic twists by: -3 5 -7 |