Atkin-Lehner |
2+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103090b |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-4975957398100000 = -1 · 25 · 55 · 138 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89574,10854872] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2092:1] |
Generators of the group modulo torsion |
j |
-97435188409/6100000 |
j-invariant |
L |
2.3633863902753 |
L(r)(E,1)/r! |
Ω |
0.42552607572285 |
Real period |
R |
5.5540342051579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103090r1 |
Quadratic twists by: 13 |