Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635ba |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-503875960875 = -1 · 36 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 0 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1617,23238] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:4:1] [14:-221:1] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
5.7571795595259 |
L(r)(E,1)/r! |
Ω |
0.61653874875461 |
Real period |
R |
2.334475964346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515k1 2115i1 |
Quadratic twists by: -3 -7 |