Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960cr |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-712545140736000000 = -1 · 230 · 33 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,113013,-37888966] |
[a1,a2,a3,a4,a6] |
Generators |
[823:24750:1] |
Generators of the group modulo torsion |
j |
1443395048293197/6443008000000 |
j-invariant |
L |
7.3182887827677 |
L(r)(E,1)/r! |
Ω |
0.14425371038429 |
Real period |
R |
2.1138360932364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870bj1 102960cb3 |
Quadratic twists by: -4 -3 |