Atkin-Lehner |
2- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300s |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-5540622779680000 = -1 · 28 · 54 · 175 · 293 |
Discriminant |
Eigenvalues |
2- -2 5- 1 4 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63108,-7096412] |
[a1,a2,a3,a4,a6] |
j |
-173725616606800/34628892373 |
j-invariant |
L |
2.235108390978 |
L(r)(E,1)/r! |
Ω |
0.14900722608283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300c1 |
Quadratic twists by: 5 |