Atkin-Lehner |
2- 5+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350t |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-3320685977600000000 = -1 · 219 · 58 · 23 · 893 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -1 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,172937,-83175383] |
[a1,a2,a3,a4,a6] |
Generators |
[342:3829:1] |
Generators of the group modulo torsion |
j |
36607265722975319/212523902566400 |
j-invariant |
L |
12.432418064692 |
L(r)(E,1)/r! |
Ω |
0.12584099039536 |
Real period |
R |
1.2999297555721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470b1 |
Quadratic twists by: 5 |