Atkin-Lehner |
2+ 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101626k |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
569856 |
Modular degree for the optimal curve |
Δ |
-1607582460672944 = -1 · 24 · 713 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -5 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21292,-2271398] |
[a1,a2,a3,a4,a6] |
Generators |
[1286015:3332069:6859] |
Generators of the group modulo torsion |
j |
-9073096362793/13664225456 |
j-invariant |
L |
6.6828064849199 |
L(r)(E,1)/r! |
Ω |
0.18757061388356 |
Real period |
R |
8.9070541794045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14518b1 |
Quadratic twists by: -7 |