Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090t |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-32651162264700 = -1 · 22 · 310 · 52 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6739,347162] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-391:1] [-682:4747:8] |
Generators of the group modulo torsion |
j |
-287626699801/277530300 |
j-invariant |
L |
8.6852968186347 |
L(r)(E,1)/r! |
Ω |
0.59878322447651 |
Real period |
R |
0.36262275159103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1410c1 |
Quadratic twists by: -7 |