Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370f |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
1042281263826170000 = 24 · 54 · 17 · 1910 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-253670,2425700] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:7208:1] |
Generators of the group modulo torsion |
j |
38371643079489/22154570000 |
j-invariant |
L |
3.3287579907287 |
L(r)(E,1)/r! |
Ω |
0.23519040515318 |
Real period |
R |
3.5383649988132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230e1 |
Quadratic twists by: -19 |