Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490g |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-1800092726250000000 = -1 · 27 · 3 · 510 · 75 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10765303,-13599899243] |
[a1,a2,a3,a4,a6] |
j |
-4830912149265798523369/63026250000000 |
j-invariant |
L |
1.2502126935743 |
L(r)(E,1)/r! |
Ω |
0.041673756451676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470fv1 35490cm1 |
Quadratic twists by: -3 13 |