Atkin-Lehner |
3+ 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475k |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
722304 |
Modular degree for the optimal curve |
Δ |
-1835312118046875 = -1 · 311 · 57 · 13 · 1012 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21008,-2364082] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1262:1] |
Generators of the group modulo torsion |
j |
-65626385453056/117459975555 |
j-invariant |
L |
2.0785894128695 |
L(r)(E,1)/r! |
Ω |
0.18706936005805 |
Real period |
R |
1.388916262446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19695b1 |
Quadratic twists by: 5 |